They likely can keep all kinds of people together. Parole keeps felons, drug users and all kinds of people apart if they interfere with the goals of the parole. The fact that your parents doesn't end the inquiry. Parole still has to investigate and determine the facts. You and your husband may not have a lot of credibility with the parole agent. Not sure, but the simple answer is yes, they can.
The state parole board has a lot of authority and can essentially do as it pleases. Parole is a gift and they can strip it away for many reasons. I am not familiar enough with the facts of the case, but it is actually more common for a victim of domestic abuse to take back their story or say it never happened than to testify against their spouse/partner. This is likely why the parole officer dismissed your version.
This is not intended as individual legal advice and there is no attorney client relationship established by this answer. It is advisable that you seek individualized legal assistance. This is not a substitute for hiring an attorney.