It is. When I was at Gruhns we had a few guys who would “bag” instruments like this. It means sealing the instrument off in a garbage bag with wet paper towels at the bottom and then hanging the guitar for a while. In essence, over humidifying.
There are a bunch of problems with this approach, mainly that if the instrument isn’t maintained at that new moisture content, it’s just going to try to wander back into the position it had achieved before the repair.
This is going to either break the new glue joint, or if you get a wicked strong glue joint, probably break something else. In the case of the gaping chasm on this tinkler, I’d say cracked sides.
So if you do try to swell it, I’d say use hide glue so nothing crazy happens if it spits the repair back at you.