No. An outstanding warrant for absconding stops the clock on your probation entirely.
Probation does not expire on its own while there is an active warrant hanging over it. The January 6th end date that appears in your paperwork was calculated based on the assumption that you would remain in compliance through the full term. Absconding, which means leaving supervision without authorization, is one of the most serious probation violations possible because it represents a deliberate decision to evade the court's authority entirely. The system does not reward that by letting the clock run out while you are gone.
Until you face that warrant, your probation status remains in violation and the end date is effectively frozen. In many jurisdictions the time spent absconding does not even count toward the probation term, meaning the clock may not just be paused but may have been set back.
The only way through this is to face it. Turning yourself in proactively, while never comfortable, is almost always treated more favorably than being picked up. A judge who sees someone who voluntarily came forward to address a warrant has more reason to show leniency than one who sees someone who had to be caught. Walking in with an attorney by your side puts you in the best possible position when you appear before the court.
The warrant is not going away on its own and the probation end date is not coming to rescue you. The sooner this gets addressed, the more control you have over how it resolves.