You're probably going to have an uphill battle to fight, but that said it's not impossible. I don't personally know of anybody that has gone straight to NetJets from an instructing career though. (I do know one person that went from flying freight in a Navajo to NJA, however I'd consider that to be a more substantial "piston" than a Seminole.)

A lot is going to depend on the people you know (Without internal recommendations I'd probably put your chances at about 5%), and the industry/hiring pool at the time that you apply. I know that NJA has turned down candidates with 4000TT and 3000Turbine. If there's a bunch of qualified individuals (that have turbine time as well as corporate/airline PIC experience), you're going to have a tough time.

On the other hand, if they haven't opened up new domiciles by then and there still isn't home basing, you chances might improve. Few people want to work at TEB or LAX these days, and the pool seems to be starting to dry up, particularly with more majors opening their hiring windows.

Either way, start networking and trying to find some internal sponsors that can help you out. I'd also do the best that you can to start saving some money on the off chance that you need to spend 6 months- a year at a regional flying turbine equipment before you are competitive. Of course don't forget that you DEFINITELY need to have an ATP to even consider APPLYING to NetJets.