Star Trek relies on them all the time but are there any teleporters in the Star Wars universe? And if not, why not? Did George Lucas ban them?
There was no "Technological" teleportation in Star Wars Universe.
Instead there was
Magical apparation ... errr ... wrong Wikia ...
There were two (possibly related) instances of Force-based teleportation:
Fold Space ability
Fold space was a Force power that allowed a Force-user to bend space to instantly transport an object between places. This form of teleportation was used by the Aing-Tii, a mysterious species living on a planet in the Kathol Rift. This technique allowed the wielder to use the Force to teleport any object from one place to another.
First appearance: Zahn's "Vision of the Future" (1998) but NOT named till 2001 " Jedi Academy Training Manual"
Unnamed "Force teleport" - "a rare force ability that enabled the user to move from place to place almost instantaneously".
An'ya Kuro (aka " Dark Woman") "was a very powerful Jedi and was known to possess many Force powers uncommon among the Jedi, such as the ability to control plant matter, and bend light around her to render herself invisible. She even appeared to be able to pass through solid objects. She also possessed the ability to use the Force to teleport
Abeloth was extremely powerful, and evaded Luke Skywalker via disappearing.
Darth Phobos may have also possessed this ability (no source on Wikia so not certain)
Some of Palpatine's Force Adepts who guarded his museum and vaults also had this ability.
Appearances: "Star Wars: Republic: Emissaries to Malastare"; "Star Wars: Empire at War: Forces of Corruption"
In the Expanded Universe video game "Star Wars: The Old Republic" set a thousand years before the movies, there is an experimental teleporter that is being tested on the planet Belsavis.
It instantly transports living beings with everything on them (clothes, weapons, etc.) over short distances to other similar transporter terminals.
The technology is described as experimental in the game. No explanation was given to how it works. And nowhere is it later referenced if the technology moved beyond the prototype stage or if it was deployed anywhere else besides select locations on Belsavis.
It's not a teleporter in the classic Star Trek beaming sense, but by the literal definition of the word, a teleporter is used in the Dark Horse comic Boba Fett: Bounty On Bar-Kooda. A magician named Magwit uses a 'short-range matter transmitter'. By all appearances, space is folded between separate devices, allowing for the user to instantaneously move from Point A to Point B by walking through one side and out the other.
In the story, Magwit had stolen it from 'a rather strange alien' and incorporated it into his act. One device was on stage, the other hidden away in back. No one was aware how his 'mystifying hoop trick' worked, indicating such technology was entirely unheard of in the Rebellion and New Republic eras, when Magwit was performing.
Teleporters have always existed in Star Wars, since less than a year after the release of Star Wars (1977), the film that would become Star Wars Episode IV: A New Hope.
Teleportation was introduced in the Marvel Comics serial published in Pizzazz Magazine #6 (March 1978), in the “Keepers World” story which ran from Pizzazz #6-10.
Luke Skywalker, Leia Organa, C-3PO, and R2-D2 escape Imperial stormtroopers by teleporting into the Keeper's Temple, where they are confronted by four mysterious children with the power to control the elements. Before they can question the children further, the stormtroopers manage to activate the teleportal and continue the chase.
The Keeper was revealed to be a powerful droid, and its teleportation was technological.
Teleportation would become a staple within the Star Wars expanded universe, canon as well as legends, both technological as well as Force powered.
Other examples for completeness:
From @DVK-on-Ahch-To answer:
- Fold Space: First appearance: Zahn's "Vision of the Future" (1998) but NOT named till 2001 " Jedi Academy Training Manual"
- Unnamed "Force teleport": "a rare force ability that enabled the user to move from place to place almost instantaneously". Ex. Dark Woman, Aboleth, Darth Phobos, Palpatine’s Force adepts.
From @Mufasa answer:
- Star Wars The Old Republic: Belsavis Prison teleporters. http://starwars.wikia.com/wiki/Teleporter
From @Gungai answer:
- Star Wars Episode IV: A New Hope: Luke snidely references teleportation.
From @User33616 answer:
- Boba Fett: Bounty On Bar-Kooda: Magwit’s “short-range matter transmitter.”
In Current Canon
From @NKCampbell comment:
- The World Between Worlds:
In canon, I think the closest would be the World Between Worlds seen in Rebels.
- Star Wars Episode IX: The Rise of Skywalker:
In the rise of skywalker we also see two examples of teleportation between Rey and Kylo when they are able to retrieve items off each other despite being far apart