Absolutely, the simplest would be to have a private limo service take you to a hotel--either at the airport or at the port area--and then pick you up in the morning and deliver you to the port.
Cheaper options--a 3* hotel in the MCO area--all have shuttle service free. I book thru Priceline and have a very cheap, guaranteed room. That way, the limo can pick you up at the hotel and take you to port only. One limo service instead of 2.
It really makes no difference whether you stay at the port or the MCO area. If you are coming in late, I'd stick to MCO and get some sleep before heading to Port Canaveral in the morning. It is about 45 minutes from MCO to Port Canaveral.