I am pretty sure the fuel pump does not turn on at all until you turn the key to start, so that relay should be dead until you turn the key to start. Another thing you can try is to go through the steps to disable the theft deterrent system as i think this disables the fuel pump...
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1987 Toyota Supra 7MGTE AUTO
1987 Toyota Supra 7MGE MANUAL
1990 Toyota Supra 7MGTE AUTO-> MANUAL
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