Those two things you just said? They don't go together.
The first one, sustaining current populations-- is predicated on the use of extensive agriculture and the use of pesticide, herbicide, and nitrogen fertilizer.
As pointed out, pesticide use has reduced flying insect populations by 75% in 30 years.
The use of herbicide is likewise implicated in systemic biosphere collapse,
and nitrogen fertilizers are predominantly made from fossil fuel derived sources, and their use has been known to destroy cropland over time for the past 60 years.
The second one, efficient redistribution and sustainable production, are dependent upon the first-- I just illustrated why current production is NOT sustainable, killing your second argument in the crib, but in addition to that, should some magic bullet be found that can make fucking magic happen, you still have to find a safe and reliable energy source more convenient and energy dense than fossil fuels, which has been systematically thwarted by incumbent interests for like 200 years, following a long and sordid script humanity seems hardwired to follow (if you bother to research the falls of various other civilizations, anyway.)
NO. YOUR STATEMENT IS WRONG. IN EVERY WAY.