For Jesus, God's natural ecosystem is not only one of care, but also of limits. So when Jesus is tempted (Luke 4:1-3), he refuses to turn stones into bread (which would subvert God's natural system of provision)...
Brian McLaren, Everything Must Change, p. 139
So, what does such reasoning do to, let's say, the time Jesus turned water into wine? Or fed several thousand people with one child's lunch? If one goes back to the Old Testament, what about when God fed Israel in the wilderness with manna, and provided water for them? Or when He provided water for Ishmael and later Samson? Or when He gave food to Elijah before having him take a long journey?
Take a look at the passage, which to his credit he does reference though I contend misinterprets and misapplies.
4:1 And Jesus, full of the Holy Spirit, returned from the Jordan, and was led in the Spirit in the wilderness
4:2 during forty days, being tempted of the devil. And he did eat nothing in those days: and when they were completed, he hungered.
4:3 And the devil said unto him, if thou art the Son of God, command this stone that it become bread.
4:4 And Jesus answered unto him, It is written, Man shall not live by bread alone
I see nothing in that which says that Jesus didn't do it because it "would subvert God's natural system of provision". Considering how often Jesus did provide such things through miraculous means, I think we should look elsewhere for the reason He didn't do so here. Very likely, since it was a temptation, then Jesus' fasting was in obedience to His Father, so the temptation to eat was a temptation to be disobedient.