Certainly! Tiny programs are the exception to most best practices. (Not security best practices, but I digress.) I write a lot of little programs, and they're certainly not all works of art. Sometimes you need to bang out a tiny program quickly, and it's never going to become a maintenance burden. In which case you can use any pattern or anti-pattern you like.
That sounds like a very black/white way to say it. I don't agree that using a singleton in small programs is an anti-pattern. The world is much more gray than that.
I said you can use anti-patterns in small programs, not that singleton is an example of an anti-pattern. I don't believe singleton is so terrible as to be an anti-pattern, even for big programs. I just think it has some downsides that are really worth considering before you use it.