Yes you can and yes you should! I love going to a different resort for a CS (QS) meal. It makes a nice break from the park when you don't really need to go take a nap, or if the weather isn't right for swimming. The food selections are much broader than the CS offerings in most of the parks. While you are there, explore the resort a little. Just stroll around. Check out the pool, the lobby, the ambience.
Go to Contempo Cafe at CR; I feel the food choices are a bit more sophisticated plus you get to eat with the monorail running by overhead. Go to Capt. Cooks at the Poly; some great Hawaian themed food choices plus you can get a Dole Whip as one of the dessert options - only place in WDW except at Aloha Isle in MK that you can find it. Go to Pepper Market in CSR; it's a hyrbid between a CS and a TS - wait staff seats you and brings your drinks but you up to a food-court-type area to select your food and it is all cooked fresh to order for you. Go to Pop Century; the tie-died cheesecake is a lot of fun and you can check out all the memoribelia in the lobby.