Sure, it could be a problem because immersing the film in a tank provides processing and fixing to both sides of the film. Film touching film in the tank leads to not being able to process that part it's in contact with thus leaving a mark on the image.

What kind of reels are you using? Maybe trimming off the end a little shorter might help to leave less curl on the end that wraps the cassette spool. OR, have you tried pre-soaking your film to soften the curl? A bigger reel perhaps? Are you loading your own film and making the rolls perhaps a bit too long? These things might help you solve the problem.
Take it light.