In general, no. They are differently defined.
The difficulty lies in the fact that CT is well understood as a chemical concept, but poorly defined as a physical/mathematical term.
Thus CT among EDA schemes is very difficult to compare with each and can even be different by an order of magnitude (I dont find the paper that nicely showed this).
Some starting points for reading:
EDA method overview: https://pubs.rsc.org/en/content/articlehtml/2015/cs/c4cs00375f
for SAPT vs NBO explicitly: https://pubs.acs.org/doi/10.1021/acs.jpca.6b12930; https://pubs.acs.org/doi/10.1021/acs.jpca.7b08165