Had the same problem with my 01 camaro. You should here the fuel pump kick on when you turn the key. If you dont it is prob that. And instead of doping the gas tank we just went in through the hatch. Pulled the carpet up found were the pump is and cut a hole. Then just epoxied it back together. Saved tons of time and work. Plus you cant tell cause you just put the carpet back over it.
(Fuel pump for 01 camaro... $400) <--- Sucks