Yes. Your evaporator is icing over. It could be because of low refrigerant, or it could just be that conditions are ideal for that to happen. The LS has an evaporator temperature sensor that prevents freeze up. I've had to replace this sensor on both of mine, and some other members have as well.
On both sides of the center air box, there is a small white connector. These are the outlet temperature sensors for the driver and passenger sides. The evaporator temperature sensor is on the driver's side up above the outlet temperature sensor. You can change it without any dissassembly of the dash. It just pulls out.
www.amazon.com/gp/product/B000C5DZS2/ref=ppx_yo_dt_b_search_asin_title?ie=UTF8&psc=1
Note that you can only see the connector part of it till it is removed.