Can A Generator Use Solar Power And Partial Energy Produced Used To Run Itself?

Any amount of energy fed back to the input of the source that produced it would be less than the amount of energy required to produce the fed back energy in the first place. The reason for this is because the generator`s efficiency (output/input) is always less than one because of losses caused by friction or flaws in design.
Unless you could supply enough energy from the solar source alone to satisfy the input energy requirements of the generator then it would be more energy conservative to store the energy from the solar source and time share it`s use with the energy from the generator than to waste energy in a feed back scheme that causes the generator`s efficiency to be even less than it was originally. Of course if you do that then you will have to have another energy source to drive the generator. The whole objective is to get the most output with the least input and your idea is certainly worth consideration. It has probably been considered in one form or another by every engineer that deals in this sort of thing but it just flat will not work. It is very hard not to talk in circles when discussing this subject so I hope you was able to bear with me.

Your question is garbled and does not lend itself to a clear understanding. But in case this is what you mean, then you should know that mixed power systems that use solar energy to produce part of the power are very common.
I live in a passive solar house with a solar photovoltaic array and electronic inverter/chargers to convert battery power to standard household voltages. The solar array produces enough electricity to run lights, electronics, and a refrigerator. I am typing now on a solar-powered computer.
There is a generator that will keep the batteries charged if the sky is cloudy for several days in a row and the batteries begin to run low. This operates in a way similar to a World War Two submarine. Because heavier electrical loads would require a very expensive solar array, I run the air conditioners, washing machine, and shop tools directly from the utility mains. There is a diesel generator that can provide the power in the event of a utility power failure.
A very large number of such combinations can be arranged. For practical information, consult the equipment manufacturers or your regional government’s ministry of energy or department of commerce.

If the energy input from the sun is sufficient to overcome the losses to heat and friction, yes. So it doesn’t fall into the strict definition of “perpetual motion” since there is continual externally induced energy.
Your second “source” isn’t really a source since it is created from the closed loop portion of the system.

If we can manufacture as perfect as possible (with high efficiency and control instrumentation) the generator system by using solar power, may be it will run continuously for along time (run itself), but for partial energy produced used impossible to run itself, because the generator system needs initial energy for every cycle running.