Yes, my TT030 is on my network with a wireless adapter. It plugs into any standard ethernet port and retrofits virtually any old computer to be wireless. You of course still need an ethernet adapter like an EtherNEC or such. I use a D-Link DWL-810, but other companies make similar products. I know Linksys does as well. The only catch is you have to configure the device on a mac or peecee since they require a java script enabled browser.
My neighbor has his amiga using one as well as I set it up for him. It connects to his Apple bases station.