No. Resources based around living things (horses, cattle, grain, fish) represent not only the presence of those resources but the conditions that allow them to prosper. Horses are found on the Cauldron steppe not because that is simply where they are but because that region is perfectly suited to raising them. If you transplant them to another area you can certainly raise and keep them (and this is why you can build horses in any region once you have access to the Horse resource), but the conditions will not be sufficient for them to thrive. In the same way that Adaptive Farming lets you build farms in any territory, the areas with grain or similar are best suited to farms and do not need that added technology for the benefit - you will of course transport grain from the Grain source to these other territories (or grow mushrooms underground there, whatever) but only the heartland of the Grain resource will ever be as perfectly suited to its production.
Think of it as like trying to grow wine in the Scottish Highlands vs Gascony. You can, but you can't make a region-dominating industry out of it. Gascony is so perfectly suited to wine production that it has been famous for it for two thousand years. Parts of Britain and New Zealand are famous for their sheep, despite the fact that sheep were brought in from abroad. Resources represent conditions as much as they do the resource themselves.