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In Spider-Man: Far From Home, all of the characters travel in different cities of Europe, and Peter Parker doesn't want to be seen as Spider-Man there to avoid to reveal his identity.
So in Prague, he used another type of suit, but
Some of his friends saw him, and Ned call him the Night Monkey
Is this some kind of reference to another comic book? Or is it just made up for the movie?
Despite a lot of Marvel's movies relying on the comics for inspiration, this time that's not the case.
There is no comic version of Spider-Man known as Night Monkey (or at least not yet).
It would seem that the name Night Monkey, which is actually a real type of monkey, by the way, is a creation purely for this film.
HITC, Spider-Man: Far From Home - Origins of Night Monkey explained!
However, there is a monkey-based Marvel character named Hit-Monkey, who is an assassin. More precisely, a killer Macaque with the skills of a master assassin.
Hit-Monkey Earth-616
Quoting Deadpool,
His name is Hit-Monkey. He's a hitman. Who's a monkey. You don't believe me? Look around you, dude -- he's real.
Unfortunately, Hit-Monkey isn't the character motivation behind Night-monkey.
As far as I can tell Night Monkey is an entirely new creation for the film and there is no previous character with the same name. Executive producer Eric Carroll has spoken about the design for the suit and its inspiration but doesn't mention the name.
While this particular stealth suit is a new creation for the MCU, drawing on the visual language established by the movies already, it does have some notable comic inspirations. “It’s inspired by a bunch of different looks in the comics,” executive producer Eric Carroll noted. “We have Noir, Big Time—but of course, when Ryan [Meinerding, concept artist and Marvel Studios head of visual development] was designing this, he has all the past SHIELD agents in mind, so it’s very reminiscent of what a Black Widow or Hawkeye wear. And it’s got all these little details, which Ryan’s amazing at.”
io9, Spider-Man: Far From Home's Stealth Suit Was Almost Too Cool for Peter Parker
That said there is a character named Hit Monkey that first appears in a Spider-Man. Deadpool team up. However, this does not appear to be the inspiration for the name.
Click images to enlarge.
As mentioned in the comments there is also Spider-Monkey but like Hit Monkey he doesn't appear to be the inspiration for the name. You can see him in the below panel from Superior Spider-Man Vol 1 issue 32 alongside Spider-Man Noir.
Click image to enlarge.
If you want a bit of a stretch the night part could come from Nightcrawler as Spider-Man has interacted with him a bit in the past. And if you want to stretch that theory even further Jake Gyllenhaal starred in a film of the same name but it is unrelated to Marvel as far as I know.
Whilst your question was only about the naming of the character it is worth pointing out that the costume/suit appears to be influenced from Spider-Man Noir.
Click image to enlarge.
