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Hello and thank you for using Just Answer,That will depend on how the shipment is made. If a seller receives an order at a place of business in Texas, and the taxable goods or services are delivered to Texas customers by a third party supplier located outside of Texas, the seller must collect local sales tax based on the place of business where the order was received.If a seller receives an order at a place of business in Texas, and the taxable goods or services sold are delivered to the customer in Texas from the seller’s place of business located outside of Texas or from the seller’s warehouse, distribution center or other location outside Texas (even if it is not a place of business that takes orders), the seller must collect local use tax based on where the product is delivered.
You would want to look over the following from the state of Texas and apply your exact situation:
so the answer is yes