Does Cuphead for Nintendo Switch have cross-play?

Interested in picking up Cuphead when it comes out on the Nintendo Switch, but wondering if it

Cuphead Switch Case

Cuphead - Nintendo Switch : Video Games

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I desperately want Cuphead to come to the Switch. Threw together a concept of what the boxart might look like : r/NintendoSwitch

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Cuphead is coming to Nintendo Switch in April - Polygon

Cuphead Crossplay Does it have cross-platform multiplayer? - GameRevolution

Cuphead and Mugman heading to Switch : r/NintendoSwitch

What is the best platform for Cuphead? : r/Cuphead