Can I (father) stay up with baby the first night home with baby?

Hi All,

My partner is having an exhausting labour with 2 nights little sleep.

The first night we’re home with baby I’d like to stay up with the new arrival to let her get a good night rest.

Maybe a stupid question but is this doable? We have some colostrum harvested in the freezer we would use. Do men have an instinct to wake up responsibly during the night?

Thanks