If you pleaded no contest (also known as "nolo contendere"), then you won't be able to have this expunged. Period. End of story. However, you could be charged for a variety of crimes, including using your friend's identity...and your friend could get the PI charge expunged based on that fact. You seriously need to hire an attorney asap!
The above is for academic purposes and is not intended as legal advice. The response does not constitute the creation of an attorney client relationship as this forum does not provide for a confidential communication.
When you hire your attorney tomorrow, they'll have to go in and try to reopen the case. It sounds like you got out because you got a conviction. You have to clean up this mess.
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Speak to a Texas Criminal Defense Attorney ASAP. Speak to no one about this until you have spoken with an attorney. Do not go to court and claim that you are somebody else. Do not post any more details here as this is a public forum,
This is unfortunately a bigger problem for your friend than you. She's the one that needs her name cleared. I can't tell what the status of your case is. Just because you entered a no contest plea, doesn't tell me the disposition. if you received deferred, the case can be expunged. If that's the case, I would just take responsibility by paying to clear her record. The bond company doesn't have anything to do with this. You need to consult a local attorney as soon as possible to sort out the disposition. They can advise you of your options from there.
Macy Jaggers's answer to a legal question on Avvo does not establish an attorney-client relationship. Please consult an attorney who practices criminal law in your jurisdiction for the most accurate legal advice.