Is it possible as a matter of theory? Yes. Is it possible as a matter of practical reality? That all depends on what county you're in, which judge you have to go to, and what that judge ate for breakfast and/or lunch and how well it agreed with him or her. Pistol permits are wholly at the discretion of the local judge and his/her digestive tract.
From what I've seen online, the better thing to do before you apply would be to go down to the permits office and speak to the clerks there to see what they think. Granted, the clerks aren't the ones who decide whether you can have a permit or not, but if they've been there a while they'll know how the judge tends to go and should be able to give you some pointers on how best to present your case.
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