In fact, some packet stations can even transfer data faster than landline telephone modems. Only a few items are needed to set up a packet station. Doesn't have to be fancy. An XT or 286 with 640K RAM and a 10 MB hard drive will do. Monochrome monitors are also fine.
Dumb terminals can even work for packet radio.
A good starter model is the Kantronics KPC-3 . It needs only a 9 Volt battery to operate. It transmits at 1200 baud and has a built-in personal mailbox. I've heard that even the Windows terminal progam will work for packet. Others include KaGold, KaWin, and Pacterm.