Would a faulty oil pump cause the engine to over heat?

What is your question?

Car has been over heating...replaced water pump and hoses, also did a flush. Everything was fine for a month or so, then had metal hoses replace...car ran fine again after a long distance trip. Now, car is back to over heating with the oil light blinking on and off...could it be oil pump? Also schedule to have head gasket replaced due to the over heating issue...to be on the safe side...err on the side of caution...