Nope. I have relatively short fingers, and the F barre chord is no problem.
However, it wasn't always that way. That F chord is pretty difficult for most beginners, regardless of finger size. It just takes lots of practice, patience, and perseverance... but if you stick with it, it'll eventually be easy to play without even thinking about it.
I'm sure everyone on this forum remembers how it felt when they were in your position. Don't give up... you'll get it!