I'm sure it can, because SRP (secure remote protocol) can be implemented everywhere where Diffie-Hellman works, but I need a proof to put this aspect into Wikipedia.
Edit: ok, can it be at least partially moved to elliptic curves?
SRP needs more than a group, it requires a field. See the specification: second user sends $B = v + g^b$. This requires two operations, addition and multiplication. You cannot trivially slap that onto a group which provides only one operation, such as elliptic curves.
Variants of SRP which use elliptic curves have been proposed, but do not seem to have reached wide acceptance or even substantial scrutiny yet. See for instance this proposal. Also, this article gives some details (e.g. it claims to break a previous proposal for an EC-based SRP variant).