I'm not aware of a test you could perform yourself but that's not to say one doesn't exist.
I've had a private lab, ANAlab do some testing for me. They can test for just about anything you can dream up that could be in water but we just do routine coliform testing as sort of an insurance against parasites.
We've never actually tested positive for any but it just gives us something to show to anyone concerned about swimming in our pools.
I had our Austin pool tested and sure enough, as suspected there's metals in the water. I'm sure you could probably find metal in any water, maybe the levels are just higher in some areas. Central and West Texas being some of the areas for sure.