No, camping is not allowed in the Reserve, including Border Field. The nearest camping is at Silver Strand State Beach. The camping is for any self-contained motor home or vehicle. There is no tent camping. Please contact Reserve America for reservations, 800-444-7275.
The nearest tent camping (RV also) is the San Diego KOA Campground, located in Chula Vista (reservations 1-800-562-9877). Another option for tent & RV camping is through San Diego County Parks at Sweetwater Regional Park (reservations 1-877-565-3600).