Yep.
Ian Anderson is the best for this. The most experienced and extremely safe.
He has a lot more adventure packages to offer as well.
Make sure you check out the Blue Hole (inland) just across from Ian's, Micheal Bolton shot a video here back in the 90's (yeah!).
If staying on Ambergris Caye, SEAduced by Belize is a very wise choice for Cave Tubing and The Belize Zoo.