Can a linksys wireless adapter work for Xbox 360?

No

This technology will work though: http://images.bestbuy.com/BestBuy_US/en_US/images/abn/2009/com/pcon/netgear_pwrline/netgear_powerline.swf

This can be used for all devices with an ethernet jack.

http://www.bestbuy.com/site/NETGEAR+-+Powerline+Ethernet+Adapter+Kit/8919708.p?id=1214004487426&skuId=8919708&st=powerline