It depends on what you mean by "suck at math". A zoology major, and majors related to it, will require one semester of college level physics. It will also require math up through calculus 2, plus statistics. And then the masters/PhD will also be pretty math-focused. So if you can get through the math with tutoring, then this could be a path you can try to pursue. If not, then maybe find something that suits you better.
With that said, what I'd very strongly suggest is that you go ahead and take the first math classes for the major in college. Get a tutor from week 1, and, knowing you're not amazing at math, work your butt off in these classes. If you pass them then great, continue on. If you really struggle, then find a different path. But don't give up based only on your experience in HS. Not if this is something you really want to do.