Yes, you can, there's no real binding between the template and the module. But if you're looking for detailed help, you'll have to provide details about your setup.

Hi, thanks for responding. We have https://marvelcinematicuniverse.fandom.com/wiki/Module:References/data

We split part of that into https://marvelcinematicuniverse.fandom.com/wiki/Module:Out_of_Universe_References/data

The input goes into https://marvelcinematicuniverse.fandom.com/wiki/Template:Ref

Which I tried to add another "invoke" parameter for the new module but could not figure it out because it read as an error.

I think the best would be to do it via the module.

In the main data module, right above the final return refdata add:

local moreData = require("Module:Out_of_Universe_References/data")
for key, value in pairs(moreData) do
    refdata[key] = value
end

Maybe I got a little confused on where to put it but what I did seems to have broke the lua. I reverted it, but I tried many times and it still broke it. I assumed you meant this part: "return reftag(frame, refdata[args[1]])"

Sorry, I probably should have been clearer. I was talking about the main data module, i.e. Module:References/data

There, you should put the code right before the last line.

Oh I glossed over the "data" detail. Anyways, it worked! Thanks alot

Thank you @HumansCanWinElves !