Legal Question in Civil Litigation in Texas

Re: company accumulated time off

An employer in Texas is not required to provide a vacation or personal leave (other than those special circumstances which might come under the Federal Family Leave Act).

Because of the subject caption assigned to your message, I assume that your circumstances are not governed by a union contract or some other contract that provides for vacations and personal leave, and that this is not an urgent situation which would involve the Family Leave Act. Therefore, the answer to your question is "Yes," because the company is not required to provide vacations and personal leave in the first place.