Technically yes, but I believe it works the same as it does on Weeding Day in that you can only get the 4 items in your own town and the rest of them have to be in other towns. Also on Weeding Day, every 30 (?) weeds is an item, whereas for the minigame, you have to pluck all the weeds for one item (but I believe that if there are multiple participants, each person only has to pull one), regardless of how many there are, and you at least need 50 to start the game. So I guess it's not as easy?
I'm not entirely sure about the mechanics of the weeding minigame either, like sometimes you get a hybrid seed bag instead, right? I think it's time-based but I'm not sure on that.