Yes, but not cheaply. There are several options:
1. Scandoubler/Flickerfixer: Connects to the RGB Monitor output of any Amiga and effectively gives you a VGA output to connect directly to a monitor.
2. Get a composite -> VGA adapter and connect to VGA monitor
3. Build the A1200 in to a tower case, add a Mediator PCI bus and use a PCI graphics card. However, this is expensive and won't work with older games. Options 1 and 2 will both work with all of your software.