IPhone is broken, is there a way to access all of my missed imessages from a Mac?

IPhone 5 fell in a pool, so has been drying out in rice the last 36 hours. Is there a way to check my imessages that I haven't been able to receive on a Mac? Or is the only way to recover those to get the phone working again?

Nope i'm pretty sure not

You can actually. But you can only see the apple to apple messages. If they have another kind of phone it won't show up. Kinda stupid actually.

Jack, does that include recovering the iMessages sent to me since my phone was last turned off? Or only messages from here on out?