If your foot pedal is actually sticking, where the top part is not popping back uP when you take your foot off, then yes, you can try a bit of oil ( unplug first!!). If the top of the pedal pops back up, but the machine keeps going, then you need a new pedal.
The presser foot is the part of your machine that goes on top of the fabric and presses it down. I guess I assume you really mean your foot pedal...