Yes, laser vision correction is possible when convergent incomitant strabismus occurs.
However the mentioned refractive error is quite serious and a qualifying examination is required to determine whether the correction is possible. During the qualifying examination each patient undergoes a series of tests to find the best laser vision correction method for him. What is more, during such examination any medical contraindications for the procedure can be found.
Serious refractive error calls for keratometry (measuring the curvature of the cornea) and pachymetry (measuring thickness of the cornea).