Help us help you. By posting the year, make, model and engine near the beginning of your help request, followed by the symptoms (no start, high idle, misfire etc.) Along with any prevalent Diagnostic Trouble Codes, aka DTCs, other forum members will be able to help you get to a solution more quickly and easily!
No. A misfire will not have an effect on the fuel pump current waveform. However, a bad/weak fuel pump can be the cause of a misfire.
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"Understanding a question is half an answer." I have learned more by being wrong, than I have by being right.