I'd say yes. I've never played Pikmin 1 & 2 and I understood it well enough. There are some references to the first two games in the plot line but it doesn't really matter in the end. If you want to be filled in on the story, look on Wikipedia and read the "Plot" section.
But definitely get this game. It's one of the better Wii U games and it's well worth the money.
Wii U is backwards compatible, and the first game is still awesome, so if you can find the first game, a Wii controller and nunchuck, I'd highly recommend it. (The second game is a lot harder and not nearly as good IMO, although not TERRIBLE.) But yeah, I'm sure you can skip to the third with no issues.