You'd have to make sure it physically will fit (diameter and length) and add or remove diodes as necessary. Also, you want to make sure the resistance are close within a few ohms. You'll have to find a chart for all the coils that tell you the resistance.
The Stern coil is 24-940 which is 940 wraps of 24 gauge wire. The Williams coils 23 -800 means 800 wraps of 23 gauge wire and 26-1200 means 1200 wraps of 26 gauge wire. The Stern coil will be right in between. If you put the -800 in or the -1200 in you will need to go into the coil settings and dial up or down the power settings for that coil if there is a setting. If there aren't adjustable settings, it'll probably be best to go with the -1200 coil. Install and see if has enough oomph to clear the ball.