No, Texas (nor any other state) can not secede from the Union.

https://www.sll.texas.gov/faqs/can-texas-secede

Can Texas secede? I heard it is one of the only states that can secede from the United States.

It is a common misunderstanding that Texas has the right to leave the United States. The Texas State Library and Archives Commission (TSLAC) addresses this on their page about Texas’s annexation:

It is said of Texas (and, occasionally, Vermont) that it received a letter or document of permission to withdraw from the Federal Union if it so chose. […] In fact, Texas received no special terms in its admission to the Union. Once Texas had agreed to join the Union, she never had the legal option of leaving, either before or after the Civil War.