Yes, an easy enough job. There's two options, run a new cable back to the box or wire it up in series with the contact sensor.
Wiring it directly to the box will give you immediate alarm activation on detecting vibrations, downside here is you'd have to be very careful opening / closing the door so as not to trigger it.
If wired up with the door contact, you get the entry/exit delay period in which you can avoid false alarms when you're entering or leaving the building. On the downside, the alarm won't go off for that period of time when one of these people trigger the sensor.