Probably not at this point, maybe if it has a ton of success but right now ...
Maybe they had a shot before, but Sony/MS are flooding the market with Neo and Scorpio, and that means they will get first priority, and PS4/XB1 can't be ignored for several more years either, and PSVR/Occulus Rift is likely going to be the other thing third parties just have to support.
Then throw in STEAM/PC.
That's like 6 different platforms that likely most third party houses (at least all the Western ones) will prioritize over the NX.
To be honest at this point I don't even care. It is what it is, it's not the 80s/90s or even the early 2000s anymore, this is probably not Nintendo's role to play any more, times change, things change, hopefully at minimum the NX doesn't suck and bomb like the Wii U did and they can carve out a decent, profitable smaller audience for it.
I will enjoy it because it will have Nintendo games on it, whatever else it gets at this point I guess will be like a bonus.