LOVEinZTA joined Zeta at Baylor and then told her story about transferring to to UT chapter. She does note that not all transfers get accepted because of the CAP program. Take it as you will, since it is for a sorority, and not a fraternity.
Unless it is different for the NIC than the NPC or NPHC, you can not join another group once you've been initiated into one. So if your friend were to join a fraternity at UTA and initiate, his options upon transferring to UT are try to join the chapter at UT or nothing. Can any Texans weigh in as to whether it would be better to join at UTA and try to transfer to the UTA chapter or rush as a sophomore?