Can Form of the Dragon be given Infect?
Yes, you can, but it's not trivial.
While Infect works on objects of any type, you can generally only grant Infect to creatures. Therefore, you have to turn Form of the Dragon into a creature first. You can do that through e.g. Liquimetal Coating, then animate that artifact through e.g. Skilled Animator. Or you can turn it into a creature directly with Opalescence.
Then you can give the resulting creature Infect through e.g. Grafted Exoskeleton.