A:AnswerYes. And you can also preorder it form Nintendo's official Amazon.
The game is planned to release in 2022. Expect the release window to be form March 4, 2022, & November 18, 2022.
Also, if you haven't seen the new trailer yet, you're missing out!
Also--according to Bill Trinen from NOA--the game will not be named, "Breath of the Wild 2" and that revealing the name now would, most likely, give away the plot of the game.
A:AnswerYes. According to Best Buy it will ship BY release date. (Tentatively 5/13/2023). There is a chance you will get it ON release date but not guaranteed, it may be a few days later. If you want to be sure to get it ON release date, use store pick-up.