The short answer
Yes, in practice a lot of the River Walk experience is strolling with a frozen drink. Many riverside bars, Thirsty Aztec included, serve drinks in to-go cups you can carry along the walkway.
Two things to keep in mind: you must be 21 or older, and you should follow any posted signage and staff guidance, since rules can vary by area and during special events.
Grab one and go
At Thirsty Aztec you can order a frozen margarita or a rainbow yard cup to go and keep exploring. See what a yard cup is first if it is your first time.
Thirsty Aztec
200 River Walk, Suite 101, San Antonio, TX 78205 (riverside on Crockett Street, next to Thirsty Candies)
Phone: (210) 580-4844
See the drink menuGet directions
200 River Walk, Suite 101, San Antonio, TX 78205 (riverside on Crockett Street, next to Thirsty Candies)
Phone: (210) 580-4844
See the drink menuGet directions