Question: If I was to have an engineer write/draw up my idea on paper would I be able to patent it or would the engineer have to give me rights to produce said product?
Answer: If your engineer did not conceive at least part of the patentable idea, your engineer would not be considered an inventor. If not an inventor, your engineer would not have ownership rights to the patent, in the absence of an agreement to the contrary.
Simply writing or drawing your idea does not make the engineer an inventor. However, there could be disagreement over what was your idea and what was the engineer's idea.