Would a tractor beam in Star Wars have the power to suck up a major city like New York or Singapore? Example of what I think a tractor beam would do to Singapore:
Picture courtesy of Independence Day: Resurgence
Have tractor beams ever been used in Star Wars to destroy things at all?
Yes, although it (probably) won't be in one piece!
In the Legends' Dark Empire comic book series (and mentioned elsewhere in Legends EU), the Empire built the World Devastators:
A Devastator's primary tactic was to land on the surface of a planet. There, its mighty tractor beam projectors would literally tear the planet beneath it apart, thus making them "planet killers."
The most obvious example of this comes when a group of the 3km machines were tasked to attack Mon Cal:
... although sometimes they just needed a light snack, and munched on Star Destroyers:
