When was the last time the air filter was checked? It sounds more like it may be starving for air than any thing to do with oil supply. If the air filter is OK, then I would check for exhaust system blockage problems, It may be a bad or plugged catalyst,,... or some exhaust pipes may have damaged.Can the oil pump be the problem...?
I agree with Del you have some sort of air/fuel delivery problem.
If it were the oil pump or an oil issue you would have all sorts of noises coming from you engine if it were oil starved.Can the oil pump be the problem...?
that sounds more like the cat converter then the oil pump. if the engine is,nt making any noise then the pump is working.