Wireless Connection questions

Hello, i am zerocave and i have a question. I want to know if possible, if i can connect my windows xp home edition desktop pc that is in my bedroom to my other windows xp home edition desktop pc that has a linksys wireless router connected to it whis my parents labtop is connected to. the computer in the living room has DSL and is connected to the wall and the computer in my bedroom isnt connected to the wall (i mean the ethernet/internet cord isnt connected to the wall). basically, i want to know if a desktop computer can connect wirelessly to a router.