Upvote:4
You might possibly be refused a visa to the US if your parents are there and have overstayed. Then again, you also might have a very strong application regardless, and still be approved. The question for the visa officer is whether you intend to immigrate to the US or not. Where your parents live and their immigration status is only part of that question.
If you are found to have engaged in deception on your visa application, you will get a lifetime ban from the US. Obviously this is not a good idea, unless you plan to never visit the US in your entire life (and want to waste $160 USD). You should assume that the visa officer can verify the immigration status of your parents, and act accordingly.