In Wizards of Waverly Place is Alex Birthday August 10 1992 in the show?

You're close! While Alex Russo's birthday is indeed August 10th, the year is not 1992.

In the show, Alex's birthday is August 10th, 1995. This is confirmed in various episodes, including "Alex's Birthday" and "Wizards vs. Angels."

Let me know if you have any other questions about the show!