Sure, if you play only battle grounds and non CP campaings. Haha.
I am sure people have come up with compromises to do both, but the reality is that serious players switch CP a LOT. I reallocate every time I walk into Cyrodiil.
I do all my PVE and PVP with the same CP, and I generate over a million AP a month. The standard PVE CP loadout will work fine in PVP.
Really the only difference between the two for a Sorc is that the 75 points into Thaumaturge don't help that much in PVP because most of your damage is going to be single target. But all the CP stars in the red constellation can stay the same. The green constellation can also stay the same.
I suppose it depends on what you do in each environment, but from my point of view, min/maxed trial DPS distribution and a 1vX distribution look VERY different. If you were only going to spec for one, I would say that PVE CP will do better in PVP than vice versa.