More likely either the bearings are going bad, or the starting capacitor is. I'm not sure but we have members here who know better. Do you hear a bearing whine when it starts?
It may be as simple as needing the contact points cleaned--very similar to a lawn-mower engine's if you're handy. That's the easiest and simplest place to start. Capacitor replacement is pretty easy, but bearing replacement is a little more complicated. There may be other things going on, perhaps on the pump side.