Yes, people leave their gear at their camp site all the time.
Once in a while wind will kick up and blow a tent away, so either pack it up or put several rocks inside. Don't zip it closed, because curious animals have been known to chew a hole to get inside.
Also, marmots and mice will invade any food you leave unprotected or inside your tent. So that needs to be packed to the summit, or stored in a bear-resistant container.
