Hi. Welcome to PC.

No, there are no such tests. If there were, I would have had them done long ago. Also, there is no proof that psychiatric difficulties are caused by chemical imbalances in the brain. That's a theory - one that is being subjected to more and more criticism.

Here's an article that mentions urine testing of neurotransmitters:

https://bebrainfit.com/neurotransmitter-testing/

This article states that what is detected in urine might have nothing to do with what's in the brain.