Yes, this is well established in the comics and animated series. It's actually one way Spider-Man proves Mysterio is impersonating him. The fake Spider-Man's webs don't dissolve on their own.
Donald Glover, who is a big Spider-Man fan and was rumored at one point when he was younger to be the next Spider-Man actor. They nod to this in Community when they show Troy wearing Spider-Man pajamas.
Maybe you can answer this for me, but I always thought that his ability to shoot webs came from being bit? How can he reformulate his own webs if it's coming from his body? Is that addressed in canon? I never got real deep into comics, this was just a thought that I had while I was watching Spider-Man: Far From Home today.
Depends which origin story you’re following. In the Spiderverse some Spidermen have the natural property of shooting webs, while others built their own web shooters.
I’m not too much into the comics, but even between Spiderman 1-3 and Amazing Spiderman 1,2 (the movies) that’s a difference.
The Spiderman in the MCU built his own web shooter and could adjust the formula. It also means he can run out when plot requires.
Prime Spider-man (earth 616 Spider-Man) whatever you want to call it, is more or less universally depicted as having mechanical webshooters that he invented. The big exception is the Sam Raimi Spider-man movies from the early 2000's which is probably what confused you.
I haven’t read the first run of the Amazing Spider Man comics (1960s) in over a decade, but I remember that Peter gained the knowledge to create webbing from the spider bite, and then applied science to create web shooters and cartridges. There’s so many comics out there I haven’t read any other Spidey comic, and probably got halfway through Amazing Spider-Man v1.
He makes the webbing and shooters. His powers are the strength, wall crawling, and spider sense, and he's smart, so he supplemented that with the web swinging, which those powers make possible.