Can you get a license to sell insurance in Texas with felony?

Yes, you can, but it depends on what kind of felony you are talking about.

In Texas, you are required to fully disclose any felony record on your license application. Failure to do so will automatically suspend your application.

Certain types of felonies such as financial crimes, and crimes involving forgery or public deception, etc. would disqualify you for an insurance license in Texas.