Funnily enough, in a fit of bloody mindedness at the local know-it-all I set down to prove that a lot could be done with horses and carts. After all, the Franco - Prussian war saw their use in logistics, as did WW1.My answer would be "in theory, based on relative strengths, and assuming we mastered manoeuvre warfare: Yes"
But we never did master manoeuvre warfare. Instead, continuing the theme of fighting different wars, we defeated their style of warfare-by-small-fast-elites by deploying warfare-by-massively-industrialised-economies.
And don't forget that the bulk of the Jerry forces were stuck with (what I have seen recently characterised HERE as) Pferdekrieg - horse-drawn warfare.
Versus General Motors et al?
It did rather depend on
1 command of the air
2 established trains and railway lines
3 sufficient horses and forage
4 not used for heavy loads
5 A rate of advance of 10 miles a day.
The trains moved stuff as close as possible, the horses moved it to local dumps closer the front
The question of why you'd choose it is another matter. It only just beats carting it around yourself. It is of course, totally impractical for anything heavy like a 155mm howitzer or tank.