Yes, there is a large parking lot and overnight parking is fine. It's a major trailhead for the Panoramic Trail and others. We went from there over to Half Dome and back for a few days last year. One word of advice. If you spend a night at Little Yosemite Valley, try to be closer to the river. Due to its overuse, there is a 2 to 3 inch layer of dust on the ground at LYV and you will be hard pressed not to get covered by it. Also, do not, even for ten seconds, leave your bear box door open, especially in the dark. We had a huge bear mosey in at 5:30 a.m. in the dark and help himself to our bear box and all its delights. We were standing 15 feet away and he ignored us. We didn't want to wake up the whole camp, so we said hello to the nice bear and he slowly walked away with a bag of our food in his humongous mouth.