Sure. Regardless of how wacky your definition of "functional" gets, it is possible and relatively easy to write bugs in Python, Scheme, Haskell, or OCaml; all of these languages confuse `x + y` and `x - y`. Idris, Agda, or Coq can catch that mistake, but still suffer "Boolean blindness" and other traditional problems.
There are plenty of bug classes which are trivial in any language; plan interference is a good example. Languages provably cannot avoid these bugs entirely, just make them less easy.
There is no barrier to writing buggy code. Writing buggy code is considered trivial in any language.