yes its perfectly possible, any A1200 should do it easily with the standard 2 meg chip RAM, i mean after all you can only get much less than 2 meg on a floppy, although it might be wise to use a basic workbench setup (i.e. no backdrop or background utilities running)
IIRC workbench without anything added uses up around 500k when booting from a hard disk, leaving you just enough memory to dump a disk into the RAM
marvellous how the amiga manages RAM :-)