Can you change your driver's license from Texas to Arizona with expired green card?

No.

"A green card is your proof of legal presence as a U.S. permanent resident. ... In virtually all jurisdictions, you will not be able to renew your driver's license using an expired green card. However, depending on your state's requirements, you may be able to use a passport with the I-551 stamp as described above.
Oct 4, 2016"