I want to plate a nickel film with a controlled stress

Most plating is tensilely stressed, and anything in the compressive range is fairly uncommon. So 14,500 psi compressive is quite unusual, I think. I don't know how to do it, but a consult with Safranek's Properties of Electrodeposited Metals and Alloys [affil link to Amazon or on AbeBooks affil links] might be fruitful.

That is a wild number. Aerospace tends to use 5000 compressive as a maximum.
I assume that you are using a sulfamate bath. would be nice if you included more details.
Two ways that I am aware of is using an additive like saccharin (extremely carefully as a trace goes a long way) and by using a platinized anode for part of your anode setup or in a continuous dummy. You can vary the amperage to control the stress. Normal plating goes tensile, so when you get it where you need it, it will only take a low amperage to maintain. I used a 5v 5A power supply with a 6" x 1/18 rod and a small ss plate for the cathode.
Note that what you want will require a constant monitor of the stress or very frequent contractometer testing or possibly stress tabs after you calibrate them.

What is the substrate and the purpose of the part and plating? Some substrates only allow a marginal adhesion no matter how well preped. Depending on that, it may prove impossible to attain such a high stress without pulling the plate off.