No. The vector field synthesis is not exposed.
Warp stabilizer does not generate keyframes, it just re-arranges pixels and all of that calculation is hidden.
If you need to figure out what is actually going on then stabilize a shot with AE's standard tracker or Mocha and you'll have keyframe date to decode. For some effects and compositing jobs it's a better option to stabilize the footage first, add your composite, re-introduce the motion, then run the whole composite through Warp Stabilizer to smooth out camera motion.