Have a look at THIS link and see what you think.
If planets can easily form around multiple star systems, then why cannot comets? Sorry, but I still don't buy the conclusion that comets would
not exist in multiple star systems.
Just my opinion, obviously, but I still don't see any reason why comets would be negated simply because of the existence of more than one star.

Again, their orbits might be a bit more chaotic and perturbed, but then so are many of the orbits of the comets in our own Solar System. We have
observed comets which visit the center of our Solar System only every 50,000 years or so, so why wouldn't these exist in a multiple star system?
Please note the quote too...
Sorry. I'm probably beating a dead horse here, but I just cannot believe the proposition that they would not exist in multiple star systems.Astronomers using NASA's Spitzer Space Telescope have observed that planetary systems – dusty disks of asteroids, comets and possibly planets – are at least as abundant in twin-star systems as they are in those, like our own, with only one star.
