in short, no.
the game needs everything attached to work. you'll have to fix the screen.
if it's a force LCD game it's likely just the backlight/power board. you can get them from LCDPART.NET just plunk the part number into their site and they will come back with a replacement that plugs right in.
if it's a force CRT game, there are a few guides around to fix them. usually it's just capacitors old and dried out that are keeping it from coming on. have a look around on the board it should have a sticker on it that says TYPE XX it will be like TYPE 51 or something of that nature. I think most of the monitors where from a company called TELCO.