Unfortunately not. Expunction is governed by the code of criminal procedure section 55.01. I have included a link below.
Basically if you have a final conviction you are not eligible for expunction. Additionally if you go through any type of probation you are not eligible. Even deferred adjudication.
In Texas, a felony conviction cannot be expunged unless the defendant is pardoned.
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The conviction you are stuck with. You may be able to seal the case you did deferred on as long as you didn't pick up any additional cases after you completed the deferred. An attorney in your area should be able to look it up and tell you.
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