Master switch, no, magnetos yes.
If it's a fuel injected bird you'll need power to prime or there's likely no chance in hell it will fire by hand.
All of that said, many rental companies will be pretty upset if they see a renter hand propping...for various reasons.
Sure it will, the pump is positive displacement mechanical. If you want to prime with no electricity, full rich, full throttle, pull the prop through a few times (depending on temp/vapor lock issues) to spray fuel into the cylinders to prime.
FI engines prop up no worries.