Yes, check out the links that Pat provided, those are the two lure coursing organizations. Although UKC will hopefully have some soon too. There is also lgra.org and notra.org, those are the racing associations, which have similar events like lure coursing in the dog's eye.
I also want to add that even though they post the actual trials/meets on their websites, there might be other places that hold fun runs and/or practices throughout the year that won't get noted with the organizations. So you may want to contact the clubs that are listed as holding these trials. So search for any lure/race events in TX and maybe even surrounding areas, and then get the contact info the clubs that hold these. All the event websites have a link somewhere or another for the club contact info. Or you can try to google them, some have websites. Then club members will be able to give you a better idea of when there might be some unoffical practice time at a park or someone's farm. In many cases the only chance of practice is in the afternoon of the competitions. But some clubs or individuals with the land and equipment will hold monthly or even weekly practices, if you can get in touch with the right people to find out about them. That is, IF there's anything in your area.
I do know that GIT (Gazehounds in Texas) is an active group. They might be a good source for info.
http://www.gazehoundsintexas.org/