It depends.
I say it depends because it depends on how militant you are about saving money. I stay at home and work on our food forest. However, we have not seen short term savings because:
1. We have increased expenditures for items like fruit trees and other materials for the food forest.
2. We haven't gotten rid of my car as I still need to go shopping often enough that it doesn't make sense.
3. The food forest isn't producing enough to greatly reduce our food bill.
My wife and I are militant about eating 100% organic. As such, our food bill for just the two of us was a little over $700.00 at its peak. Now it's in the $500's because of the reduction in food costs due to what the food forest and garden are producing. So it's starting.
BUT:
A. If you went about creating your garden/food forest in a more frugal manner than us, then you'd save more money over the short term.
B. We COULD get rid of my car and all it's associated expenses right now, but it wouldn't be as efficient. But it would definitely be doable and we hope to in about two years.
C. As the food forest produces more and more, I hope for our monthly food bill to get down to around $100.00 AND for me to be able to sell enough from the food forest where it's actually profitable for us.
D. It's hard to quantify the loss of potential expenditures such as health outlays because we are eating so healthy.
E. As food becomes more and more expensive (I believe it will be) I feel our food forest will turn out to be an absolutely fantastic investment.