1992 Mitsubishi Diamante fuel pump

What tests led you to the fuel pump? If you just made a guess, that should be the last thing on the list.

Have you checked for spark, and have you had the diagnostic fault codes read and recorded?

So we're clear, "cranking" and "turning over" are the same thing. Does it or doesn't it?

No it does not start.I was driving the car but I drive my work truck dering the work week & then on the weekend I drive the car and went out to start it and nothing it would not start. Yes I had it diagnostic check and they came up with fuel pump

I'm going to assume the engine cranks but won't run. There is a relay that turns on the fuel pump, but it also turns on the ignition system. Do you have spark?

How exactly do you check for spark

Remove a spark plug wire from one spark plug, insert a screwdriver blade into the end of the wire, hold the blade close to a metal part on the engine, with a gap of about 1/4". Have a helper crank the engine and watch if multiple sparks jump from the screwdriver to the engine. If there is no spark, you don't have a fuel pump problem.