Is there any way to skip "Off The Hook"

Based on multiple complaints and no offered solutions (other than mashing the A button to get through it as quickly as possible or just not turning your game off ever), there does not appear to be a way to skip it entirely (currently).

Here's one such example of this kind of complaint:

Let us skip the Off the Hook intro every time you turn the game on. Some people may enjoy it, and they will be able to sit through it - let everyone else skip it. Even mashing A is not enough because you still have to sit through pauses and marina spinning the disc and showing all 6 maps which can easily be checked in the menu.

If you turn on Airplane Mode, you can skip "Off the Hook" when you boot up the game.

This is only useful though if you want to play single-player mode or check out your gear because once you turn off Airplane Mode and connect to the internet, Off the Hook will play once it's connected. Like Vemonus says, the only thing you can do is never close the game; you can leave it sleep mode, but actually closing the app won't work.

Ref: https://www.reddit.com/r/NintendoSwitch/comments/6pt543/tip_start_splatoon_2_in_airplane_mode_to_skip_the/