I think you could do it but you'd need a watermaker
and a lot of Top Ramen.
My good friend hiked the whole John Muir Trail when he was 20. He didn't have a lot of money
so he did the whole trip on nothing but Top Ramen 3 meals
a day for 20 days. It's cheap
I asked him if he still liked Top Ramen. He says, "Dude, I never even want to SEE another F^%&ing Top Ramen;" (he almost never curses)
At one point they hiked down to a town to the post office to pick up their shipment of Top Ramen. There was one restaurant in the town and they'd been dreaming of a cheeseburger for 5 days. The restaurant was closed and they sat on the sidewalk and cried for 1/2 an hour.
I like cheeseburgers too, but they've never made me cry.