On Sept. 3, just two days after Texas banned abortions, Vivek Bhaskaran, the chief executive of an Austin-based online survey software company, quickly assembled the handful of female employees that are based in the city. In a virtual town hall that lasted about 15 minutes, he told the women that regardless of insurance, the company would cover out-of-state abortion services. For the past several years, Texas has been selling itself as a tech haven attracting start-ups and tech companies such as Oracle, Hewlett-Packard Enterprises, and even Elon Musk, Tesla's billionaire co-founder and CEO, who has moved to the state. Big...