i understand the issue can be serious but I had to laugh at the question:

Is the frog squishy?


I've got a pacman frog. He's "squishy" when he's full of food, full of air, full of pee.


I've looked at your pics and I can't say it looks obviously bloated with edema.
My pacman frog also looked quite trim when i got him as a juvenile. But good lord give him one or two of those dried pacman frog pellets and he swells up comically.