What RB said, actually a simple adapter that plugs the cart pins to an EPROM reader might work this is actually how we got the last Pyuuta games dumped, Klaus made such an adapter and we shipped it to the game's owner so he could dump them by himself.

I believe the chip is soldered to the PCB (and desoldering would be a no go), now I don't own any Arcadia game nor I ever looked to the insides of one, but it does seem so:
http://www.digitpress.com/the_digs/arcadia/gallery.htm

To make things worse this one is actually an Italian exclusive release by Leonardo, but I'm pretty sure it's fully compatible with the Emerson family. Anyway I'm interested enough on getting this one dumped that I'm willing to buy a couple of Arcadia games to have it figured out.