Is there a way to get a list of all the JDBCs so that they can be displayed for

Do you mean a list of data sources?

Yes

I don't think there's any OOTB function to get the list. Does it change often? Can you put the data source names in a constant (text array) and use it.

Already doing this but would like to make it easier on myself.

@Brandonc Can you share your use case, I'm curious?

I would be making a process to run the same script against all the connected databases or just a single one. This would be going on many different servers so knowing that I only have the latest information would be helpful.