I wouldn't count on it. Spiral Knights is a Java game, and getting a Java game running on Switch is a non-trivial task. I'm not at liberty to divulge what exactly Nintendo provides to developers for Switch development, but as I see it, possible options are to port the whole game to something like Unity which Nintendo even mentions by name on their developer portal (VERY expensive and time-consuming), develop a separate version of the game just for Switch (also very expensive and time-consuming, probably wouldn't allow for cross-play), or bundling the game along with a Java Runtime Environment into a single executable and figuring out how to get that running on a Switch (less expensive and time-consuming but much more challenging to maintain over time, as bugs are likely to be abundant). The last option requires the least amount of new code to be written, but still requires a lot of research and dev time since you'll likely run into all sorts of nasty bugs as you're dealing with a new environment, but that's standard whenever you're porting something to a new platform.

In any case, it would be a massive undertaking, and given the current state of the game where the majority of changes are new cosmetics, I highly doubt Grey Havens has the manpower to even think about getting it done any time soon.