Yes, although you have a typo above, if 5200 should be 2600?
If we have the average ROC value, multiply it by 2, and then subtract the a known instantaneous ROC from one end or the other of the climb interval. In your example above, let us say we know the average ROC from SL to 2000' is 2600 ft/min, and that we do not know the instantaneous ROC at SL, but do know the instantaneous ROC at 2000' is 2650 ft/min. Then the instantaneous ROC as SL would be:
(2600 x 2) - 2650 = 2550 ft/min