You cannot commit zina, as it's strictly forbidden. However, it is your obligation to get married if you think you will fall in such a sin.
According to the Hanafi school of law, it is fard to get married when one is sure he will commit zina if he doesn't. It is wajib to get married if there is a possiblity that one might commit zina.
Source (Hanafi Website): http://m.sorularlaislamiyet.com/index.php?oku=184883
Your parents cannot prevent you from completing your Islamic obligations.