Yes, because there isn't going to be any sort of protracted fight for Darwin in February of 1942 and we know the existing airfield on site was sufficient for B-17s and B-25s/26s, so more than sufficient for Japanese bombers.
Here:
Your actual article indicates that the Imperial Japanese considered it necessary to try to intimidate people not to carry out
demolition work (edited - correction) for the Allies, so apparently the original timeline Imperial Japanese thought that this could be a problem.
Your article also says that in February that the
air force was moving out of the bases on Timor at that time - not that troops on the ground were pulling out, and that indeed the Allies recognised the importance of Timor and wanted to put more troops into Timor (but a convoy which was sent out experienced harassment by aerial attack and the captain in charge decided to return to base.)
So, you have established that for the purposes of your scenario there has never been any Allied airbase on Timor (even though your own sources say that in the original timeline there was at least one at Koepang; and there may possibly even have been another at Dili if the place there which Hudsons were 'dispersed to' was an airbase.)
You have established that the Imperial Japanese will capture and own an airbase in Darwin suited perfectly to their bomber planes which will see no damage from fighting to capture Darwin and this will be in despite of that even your own source indicates that the original timeline Japanese considered it necessary to try to intimidate locals on Timor not to carry out demolition work.
You have established that there will be no Allied soldiers on Timor in your scenario, even though Wikipedia's article on 'The Battle of Timor' says that in the original timeline there were until February 1943 and your own source says that the Allies were trying to
reinforce the island with more troops, even if they thought that withdrawing the air-force was a good idea for reasons unstated. (Since your source states the original timeline evacuation was overrun by the incoming Imperial Japanese invasion, I'm going to guess that the reason for the attempted original timeline evacuation of the air-force from Timor was 'The Imperial Japanese are
literally on the beach - time to get the air-force staff out!' and that anything short of an actual Imperial Japanese invasion would not have resulted in the air-force trying to leave.)
So: basically, 'special rules for Imperial Japan!' in your scenario.