I’m going to say probably not. Having played all the localized Fire Emblems sans Conquest, I think this is clearly the best game in the series. If you want more of it, some of those are worth seeking out. Path of Radiance on the GameCube and Awakening on the 3DS are likely the standouts. But, going from Three Houses to those might make the others feel somewhat incomplete. The previous entries are comparatively barebones. Some have a point-to-point overworld map (Awakening does), but most are a procession of linear battles with a break in between for a cutscene and for party maintenance. There’s also far less character customization. Three Houses generally feels more like a strategy game and less like a puzzle than previous entries, in part because of the customization aspects it has that the others lack. Plus, all the general quality-of-life stuff added over the years. Path of Radiance had some great battles though, probably on balance better in that regard than Three Houses.
Outside of FE, Disgaea 5 on Switch is pretty good, but leans heavily into anime tropes. I don’t care for that, but still enjoyed the game. I still think of Final Fantasy Tactics (not on Switch as far as I know, but on lots of other platforms) as being the pinnacle of the Japanese tactical RPG genre, but it would be hard for me to earnestly recommend it over Three Houses. In fact, there’s a high chance that’s mostly nostalgia talking. I liked Tactics a lot back in the day and sought out other games in the same genre, which is how I discovered Fire Emblem on the GBA, but none of the others really connected with me. Tactics Ogre came closest, but none of them were ever quite up to standard. The PSP remake of some absurdly titled SNES-era Tactics Ogre came closest, but was more good than great in my mind.
If you want something with a similar feel but with more unique mechanics, Valkyria Chronicles on PC is (mostly) great. One of the sequels is on Switch, but I haven’t played it and have heard negative things about the port. It’s on PC as well.