Yes, with engineering and the Guardian Frame Shift Drive booster, which is great.
As to whether anything can be done to increase your non-engineered build you'll need to post it.
I suggest using a program called Elite Dangerous Market Connector, EDMC, which when configured, allows you to easily export your current ship build to Coriolis, so we can see it and make suggestions. You can also manually enter all modules in Coriolis, but it's better to export it, especially once it's engineered.
I just quickly built a non-engineered DBX on Coriolis and got 35 unladen (with several A modules, including thrusters and PD) so I reckon you're right in the ballpark. Check out the requirements for the GFSDB, it will add nearly 10 jump. Engineering will take you to 70 jump.