So you would like to move the registration but not the car itself? Where actually is the car right now?
In Texas, it is my understanding that new registrants/residents must present both proof of inspection and proof of liability insurance at the county tax office when they register, thus the car must be there as well for the inspection.
See the following:
http://www.txdmv.gov/vehicles/drivers/new_residents.htm
There are some special rules for people not residing in Texas, but it appears that they are only applicable to students and military personnel.