Yes you can, but not all restaurants would let you. At my restaurant, they don't care about overtime, but nobody wants to work 80 hours per week either. If you're consistently there more than 40 hours per week, our boss actually respects you for your hard work and happily pays the OT, since that kind of hard work is the very thing that led to him being able to buy the restaurant in the first place. I'd say most of the employees work about 25-55 hours per week, with the median being under 40. (Averaging 32 or more hours per week is all it takes to receive FT benefits.)
If you're thinking about a corporate-chain type restaurant, then yeah, the suits at the home office might frown on overtime, because they just look at every employee as a cost, instead of as an asset that actually brings in money.
It just depends on the place.