My gut answer to this question is "no." Certainly, from a technical standpoint you cannot be a resident of two different states simultaneously. There may be a way to exploit the fact that there are two different application systems, but I doubt it.
When you claim Texas residency through TMDSAS, you need to actually submit a residency questionairre, and basically argue your case for being listed as a Texas resident based on things like voter registration, driver's license, motor vehicle registration, land ownership, etc.