Yes and no. The bus interface of Barton is no different to the others, so that's a Yes on the electrical side.
But: Desktop Bartons are 166 MHz bus frequency, which is something the KT266A is not capable of. Side effect: Don't expect the BIOS of a KT266A board to support a CPU the chipset can't run. On the other hand, there's a less-cache version of Barton, Thorton, that uses the same CPU core, and which you technically COULD use with this chipset. As seen on e.g. the PC-Chips M811U, a current and very popular low cost board that still uses KT266A and runs all CPUs up to 2600+ (133 MHz bus version) - including Thorton models, but not Barton.