You need the advice of a lawyer (and, for the record, communications with lawyers on this website does not constitute "legal advice," nor does it create an attorney-client relationship).
The short answer to your question is that yes, it may be possible that the case could be thrown out of Arkansas and placed in Texas. Among the possibilities: the case is removed to federal court and transferred; the case is dismissed in Arkansas for forien non conveniens; a countersuit is filed in San Antonio and an anti-suit injunction freezes the arkansas litigation (although this is unlikely); the case is forced into arbitration; the case is dismissed in Arkansas for lack of personal jurisdiction.
Determining whether it would actually be possible to dismiss the Arkansas case and force the case to be refiled in Texas would require a great many more facts. For example: a lawyer will need to know what were the terms of the contract between you and the other party? The contract may contain a mandatory venue clause which would determine where the suit must be brought. Your lawyer also will want to know what connection you have to Arkansas -- it may be that the Arkansas court does not have jurisdiction over you.
In sum, you need to sit down with a commercial or business litigation attorney in San Antonio, Texas and have them review your case to determine the next steps. Virtually any business litigator will be willing to review your lawsuit immediately and give you an opinion on what next steps you should take (many will not even charge you for the initial visit). A good business litigator will be able to tell you very quickly what steps you can take, and also will tell you whether you need a primary attorney in Arkansas, a local counsel in Arkansas working under the Texas attorney, or whether the Texas attorney can handle the matter himself (which might be possible, if the case is removed to federal court then transferred from Arkansas to Texas).
