Probably not. Some trees can root from cuttings pretty easily but Chestnuts are not one. You can try but I would expect any success would be quite limited. There are some advanced techniques like air layering with wire constriction that I know some folks use for hard to root trees but even there success is limited. Chestnuts are not real easy to graft either but that can be possible. I know there can be incompatibility depending on the varieties/strains used. I know the Wildlife Group was nut grafting their AU Buck chestnuts, at least when I got mine. I have heard of folks "green grafting" chestnuts during the growing season.
On the upside, Chestnuts seem more true to seed than many trees. I've had a lot of success growing them from seed. Many of the trees commercially sold by Chestnut Hill under the trade name Dunstan are actually grown from nuts, not cloned and genetically identical to the parent. Chestnuts of a single variety can't pollinate other trees of that variety.
There are lots of threads on here for direct seeding the nuts or growing them in root pruning containers.
Hope this helps,
Jack