Yes they can have acid reflux.
Couple of things I noticed. Dog eats and then plays, this is probably not a good idea, they should rest after eating, playing should be done before eating or a few hours after, especially with this type of condition. You didn't mention the breed, some are prone to bloat (torsion) if playing after eating occurs, another thing to think about. The dog could have some torsion issues.
What are you feeding, is it high in fat?
You might want to think about a bland diet for a few days until this subsides, that would be boiled whtie rice and boiled chicken, fat removed. See if that stops the acid reflux, and if it does I would think about changing foods to something with less fat, however you don't want lots of grain in it either, that is hard for them to digest, corn, wheat etc.
Shiloh is a mixed breed....I'm pretty sure he's a Schnoodle based on a number of factors.
As for what he's eating, he's on a diet of Canidae Platinum Dry Formula (he's only 7, but I have him on the Platinum because he and my other dog are overweight couch potatoes during the winter) and has been on this food for two years.
I like the chicken/rice idea, I'm going to give that a shot, and plus Shiloh will love it!