yes, it could cause a vibration. what transmission are you running and has it been swapped out?
Ford switched from 28 oz imbalance to 50 oz and running a 28 oz harmonic balancer and a 50 oz flexplate would cause quite a vibration, the higher the engine speed to worse the vibration.
This is a serious issue if that is the case, but it could be other things than your flexplate; engine not balanced, loose bolts (in flexplate, etc.),
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