I'm not an expert on either motor vehicle laws or Texas.  However, after looking at the Texas Department of Public Safety pages, I think that a 18 year-old can get a Texas driver license without getting a learner's permit first.  See http://www.txdps.state.tx.us/administration/driver_licensing_control/faq/faq.htm#dvr_lic.

Thanks for all the fish!
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