Could a Feature Be Shot For $6K

I was thinking about an old convo with a colleague of mine who said he wants to make a Hallmark style Romance/christmas movie and he has $6,000 he wants to put towards it.

Obviously, it's going to need more money down the line, but I am curious... If you were to shoot a feature for $6,000, how would you go about it? Is it even possible to make a film within this amount?