Can I put my quiche together the night before with an unbaked crust, refrigerate over night, and then bake it off the next morning?
The crust would get soggy.
If you want to make a quiche in advance, you can make the shell and blind bake it, if required. Wrap the shell in plastic wrap and refrigerate it over night.
You can make the filling custard and have it in a bowl (I would actually use a sealable container). Eggs and cream are highly perishable, so you want to refrigerate them right after mixing.
Then, to bake your quiche, all you need to do is pour the filling into the shell and bake.