I think it's pretty difficult to manage both, but not impossible! The main difference between both is that in our collective memory, jazz and classical music are considered as "opposite".
In jazz, musician "is" the Music, he creates the music with more "freedom" than a classical player.
In classical music, the "text" is already existing you can't change it as your convenance -or disabilities-, but the singularity of interpretation pushes the musician to really questions himself to be able to play, to live and sing with his own voice a preexisting music.
I think that the instrument we play *was initially designed for classical music, (not a scoop!) so the only true technique to sing the instrument comes from the great classical players who really thinked about the instrument for right and left hand.*(i mean complementary masters as Dragonetti, Bottesini,Petracchi, Rabbath, Rollez, Barbé...).
On the other side, great classical masters don't really sound jazz when they play pizz.
We have jazz masters (who have for almost of them studied classical technique) to learn how to groove and how to solo (Slam Stewart, Paul Chambers, NHOP, Scott Lafaro, Christian McBride...) in a real singing/soloist way.*
The only way i've found to develop a good bowing technique in jazz was to study with a classical bow master, and being able to play classical soloist repertory -i was teached by the great Thierry Barbé, major from my promotion, i've really studied

-, and pick up all jazz songs and choruses you can on the other side. Trancribing jazz scales and modes with a bow is a key, it develop your precision and pitch to be accurate with and without a bow!
Listenning jazz violonists is also a key to have a good bowing phrasing.*
I suggest you to begin with the Parker's Omnibook, playing pizz and bow, at differents octaves according to your current level.*
And PLAY with all bands you can, tryng to incorporate the differents elements you're learning in both styles.
It's a life work but if you have method, it's possible!
Good music and good work to you!