SAN disambiguation

I have a question about SAN disambiguation rules.
If I have a position like this for example (black to move)

Can I write Nc4 without disambiguating (Nac4)? Technically Nec4 is an illegal move because it will leave the king in check.
Thanks
If I have a position like this for example (black to move)

Can I write Nc4 without disambiguating (Nac4)? Technically Nec4 is an illegal move because it will leave the king in check.
Thanks