If you legitimately need the meat, aka your family is starving and if you don't kill this animal, they are done, the law doesn't make an exception that I am aware of. Out of season tags, perhaps. Even use of spotlights for conservation tags on farms I have heard of. But just Bubba need to put meat in the freezer? Not too sure about that.
Now, that being said, I have heard of more than 1 LEO who turned his back on a known impoverished family in those circumstances.
The legal solution is to shoot one legally. If your family is going to starve, there are assistance programs the state and federal government sponsor to take care of those things. WIC and food stamps being 2 I know of.