As others have stated, yes, hardwood plywood varies in thickness even within the same sheet. The amount it varies depends a lot on what type of core it has. If you go with something like MDF, particle board, or performance core it's been my experience the sheets are within a few thousandths from sheet to sheet and within a sheet. If you go with just your standard veneer core panel you can expect .030-.040" from sheet to sheet and within the same sheet. If you go with a better grade veneer core panel like JayCore or KayCore you can expect thickness variations almost on par with MDF and particle board. You can also expect about the same variation in the veneer core with the MDF crossbands.
All of the different cores can be made with your choice of face veneers. As to what your local suppliers actually stock that's a toss up. In my area it's difficult, if not impossible, to find anyplace that stocks the better veneer core and veneer core with the MDF crossbands especially if you only want something like a B/2 Maple. It's a hit and miss with A/1 stuff. I don't understand why because I know they are by far my first choice.