You should do a compression check to verify that it is truly fuel that is the issue. There is a good chance that the rotor is blown. (You can search for a procedure for the compression check).
If the compression is good on the front rotor (>60 psi if it has been sitting around) then the owner may be telling you the truth.
If the rear rotor is getting enough fuel to run, the fuel pump is not the issue. You can pull the upper intake (which takes some time on a stock RX7) and have a friend crank the car while you measure voltage across the plug to the front injector.
Please note that the car may start at first, but will quit quickly because the fuel pump will be off.
Obviously, if the compression is 0 psi there is no point in this proceding as you know that the engine would not run on the front rotor even if it was getting fuel (you are better off without fuel to that rotor)
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1986 GXL ('87 4-port NA - Haltech E8, LS2 Coils. Defined Autoworks Headers, Dual 2.5" Exhaust (Dual Superflow, dBX mufflers)
1991 Coupe (KYB AGX Shocks, Eibach lowering springs, RB exhaust, Stock and Automatic)
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