For the most part No! San Angel dinners are more authentic than you would find at your local typical Mexican restaurant. You won't find tacos, burritos, enchiladas or chimichangas there. They do have tacos for lunch but they aren't your typical taco. Instead they're more like you'd find in Mexico.
Dinners are much more upscale and thus what most people are used to for a Mexican restaurant aren't found.
However, you can make your own. Ask your server for some corn or flour tortillas and add pieces of your dinner to them. Plato Mexicana will work well for making your own tacos.
San Angel Cantina does have Tacos.