No. Super Smash Bros. is a Nintendo first-party franchise developed by Bandai Namco / Sora Ltd. under Nintendo's supervision. It has only released on Nintendo hardware: N64, GameCube, Wii, Wii U, 3DS, Switch.
Microsoft has no licensing agreement for Smash; Xbox 360 (2005) is two generations behind Switch. The series will remain Nintendo-exclusive for the foreseeable future.