"I wonder if it's possible to follow North Fork Borrego Palm Canyon all the way up to Palm Mesa to Indian Canyon and out to Collins Valley where Coyote Creek is"
Well, yes and sort of.
First off, the last place you want to be during a winter rain storm is in the upper reaches of Borrego Palm Canyon.
But yes, you can hike up out of the canyon. Very strenuous. Loops can be done via Indian, Cougar, Sheep, or Salvatore Canyons. All require difficult bushwhacking to get down and it is steep, about 3,000 feet if I remember correctly.
The best and longest route is to go all the way to Alder Canyon and then down, and that isn't easy.
But up high in November it is probably going to drop below freezing and snow is not uncommon. If you get a map, any trails you might see up high are not really there any more. So any of these routes are going to require some excellent navigation skills. Not recommended, and why I have never posted trip reports for these hikes.