I was wondering if there was any possibility of putting a reptile (specifically Sandfire Bearded Dragons) on hold, or daily notifications on whether or not they are purchased?

This question is one that cannot be answered online. So it is my recommendation that you call the store directly and ask if they can hold reptiles or not.

I know they will not hold fish for a customer.... I assume all other pets are the same

You'll have to call the store directly

I don't know. Call the store

Call the store