Nope. Several reasons:
1) Nvidia likes fat margins, consoles are low margins.
2) Nvidia doesn't need the volume, so less incentive compared to AMD.
3) Consoles will absolutely loathe to switch from x86 to arm and that would massively screw up all their production & tools - which are perhaps the most important aspects above all else for devs.
4) ARM sucks and will still suck for these sorts of workloads. x86 will continue wiping the floor with arm for the foreseeable future.
5) Everyone hates working with Nvidia
I'm sure there's more but I just don't see it. Nintendo was a special case because a) they have their own unique eco-system and they don't go cross-platform; b) Nvidia had warehouses full of ****** chips no one else wanted so Nintendo got them for dirt cheap; c) switch works well for arm uses case as it's a very low power device (by necessity), so it's below an optimal x86 threshold; d) Nvidia hasn't had the opportunity to f0lk them over before so that resentment hasn't had the chance to develop... yet.
If anything there's a bigger chance for Nintendo to switch to an AMD+Samsung chip than Sony/Microsoft to jump ship to Nvidia, but that's also unlikely for the next Switch.