I don't know about the word "transfer" but there is probably a procedure to get it done. You need to contact the Real Estate commission in Texas.
I am licensed in different states myself and it there is usually a process involved, not too big a deal. Most state RE commissions are good about it.
For instance, when I went o NY for my license, The NY licensing procedure for salesperson the requirement is 35 hours of classes. In NJ we take 70 hours of school classes, so given the amount of class hours, NY let me take the exam (which I passed) then I needed to get a statement from my RE school that stated I completed and passed the 70 course, the NJ Real Estate commission had to verify that my license was in good standing and the NJAR also verified my license was in good standing. I sent all of those papers with the NY State form to the NY RE commission and was issued a license.
So, it can be done!
Like anything else your due diligence is key!