Answers cannot get more clear than "maybe".
1. Unity Technologies would need to receive development kits
2. NX support for Unity would need to be developed
3. Playtonic would need a development kit
4. Yooka Laylee would need to be running on the latest version of Unity (Last they said, they were using Unity 4 and the latest is Unity 5)*
Anything of this sort in the realm of technology is possible, but realisticly Playtonic cannot get this game running on a platform their base engine does not support. We do not know if Unity is currently developing for NX (Or if the NX is something that can yet be developed for), we do not know if Playtonic could receive a development kit, and we do not know which version of Unity they're running.
*Unity is built so that projects can start in older versions and move to newer versions with minimal damage. Even then, issues could arise. Would Playtonic be willing to spend time on ditching the old, proven to work for their needs iteration for the newest version that isn't even a year old?