It is possible to install games via network, with HDL Dump. I prefer the HDL_Dump_GUI by vtecorona, you should find it in the HDD forums. All you have to do is to start the hdl_dump_server.elf on the PS2, then you can transfer your games. However the speed is not so great, if you're lucky you get around 2MB/s, so you'll have to be patient.
best regards Jones23
P.S.: I hope you don't FTP your game saves, that can destroy them. ALWAYS use psuPaste and host to copy game saves to PC.