Can tumor cells that have metastasized to the kidney bones form the prostate increase psa levels ?

Tumor cells: It can be . Don't ignore this . See you urologist.

See answer: Prostate cancer is typically associated with elevated psa levels, especially if the cancer has spread elsewhere. The question is a bit unclear, but prostate cancer cells whether they are in bone, lung or lymph nodes, will usually produce a detectable psa. Kidney per se is an unusual site of spread, but perhaps you meant the spine or ribs near the kidneys when you wrote "kidney bones".