The Texas Department of Public Safety (DPS) states that a person who has a suspended driving status in another state is not eligible for the issuance of a Texas license. If an adverse driving status appears in another state after the issuance of a Texas license, the Texas license is subject to cancellation. This is in the Texas Transportation Code under section 521.201 and 37 Texas Administrative Code section 15.87 (2).

So from this information it would not appear that you would be able to obtain a Texas driver's license while your Pennsylvania license is still suspended. You would need to take care of the issues or wait out your suspension and get your PA license reinstated in order to apply and acquire a TX driver's license.

The Texas DPS would check with the National Driver Register (NDR) and find that your Pennsylvania license was suspended as part of the licensing process so there is no way to apply for a TX license without informing them of your current licensing status in PA.