It can do, but...
A medicore base 60 in its SpA will drag it down- but its gets access to.... Nasty Plot.
Its also got a rather surprising Special Movepool, getting Swift,Thunder,Thunderbolt,Water Pulse, Shadow Ball and Grass Knot as well as the HPs. But even so, Ambipom does a lot better physcially. A Nasty Plot Baton Pass has potential, but other than that it isn't really viable.
I wouldn't recommend a Special Ambipom as it makes much more better use of its Physcial Moveset.
If you really wanted a Special Ambipom here's a Gimmicky Set :
[email protected] Orb
252 SpA/ 252 Spd/ 4 Hp
-Swift/ Shadow Ball
-Thunderbolt/Water Pulse/Grass Knot
You could replace HP with BP if you wanted a Nasty Plot Baton Pass set