YES!!!
I was there recently. The city of San Juan was rebuildt after the earthquarke of 1944. You can visit the Casa de Sarmiento and the Auditorium, which plays every Friday and most weekends. I recommend you to visit the cava (champagne production) and wineries. Going north you will find Cuesta del Viento and Jachal, which is very similar to the North West of Argentina (Salta, etc). If you like sports, let me tell you that the best place for windsurf is in San Juan because of the nature of the wind!!
There are several thermal waters, like Pismanta. Ischigualasto o Valle de la Luna is some 300 km north from San Juan city.
South of San Juan city you have La difunta Correa, Leoncito and Caucete.
Let me know by PM if you want/need more info or any recommendation.