No, and it would be impossible at this point to have a truly traditionalist Jesuit, since their juniorate and philosophate education programs (i.e. the higher level Jesuit education in preparation for the priesthood and advanced theological or classical studies) had completely collapsed by the 1960s. Any Jesuit today who would have traditionalist leanings would have received a modern "education" and then would need to be mostly self-taught when it comes to theology, or even Latin. Seminarians going through a traditional seminary would be better equipped than 99% of Jesuits today.
The late Fr. W. Norris Clarke, SJ, not a traditionalist but a brilliant mind and one who had received the traditional Jesuit education, pointed out that theological giants of the nouvelle theologie and at the Council were made possible by the older neoscholastic education, a not insignificant portion of which was led by Jesuit education, and since the collapse of that educational model, in his opinion, one hasn't seen anything remarkable in the way of philosophical or theological progress since the Council. A rather telling admission.