Is it possible to have in the entirety of the time from 1900 to 2016 no independent Polish state, AND have at least one of a) Austria-Hungary, b) the German Empire, and c) the Russian Empire suffer a dismemberment on the scale Austria-Hungary suffered at the bargaining table at Versailles after WWI?
Probably not the most-likely outcome, but I guess you could just have another partition. These are all assuming WWI are butterflied away:
A) Austria-Hungary collapses. Austria and Bohemia-Moravia are absorbed into the German Empire. Italy seizes Tyrol and Dalmatia. To compensate for German annexation of Osterreich und Bohmen-Mahren, Russia annexes (Polish) Galicia and Carpathian Ruthenia, whilst Hungary is made an independent state, controlling Hungary proper, Transylvania, Slovakia and Croatia-Slavonia. No Poland.
B) This one is quite difficult because Germany is the most stable of the three countries and any German collapse is likely to involve continent-wide forces that will also topple the Habsburgs and Romanov dynasties. Maybe there is some kind of Communist revolution in Germany. For some reason much of the army revolts and refused to kill their compatriots. Austrian and/or (more likely) Russian troops march to Berlin, dissolving a Paris Commune analog and reinstating monarchist rule in the country. Either the borders stay essentially the same, or Russia gets some more Polish territory. The real prize would be East Prussia, but that would be a hard sell to the international community to annex that. Still no Poland.
C) The Russian Empire collapses in circumstances different to those historically. Belarussian and Ukrainian states emerge which control territory of mixed ethnic composition, such as Lvov/Lviv. An independent Lithuania expands into these areas too. Austria-Hungary is decrepit and only forces some border adjustment. The most vigorous player in the region, the German Empire, whose foreign policy establishment has come to be dominated by the Lebensraum-lite types that were pretty common in late 19th/early 20th century Germany, expands into Germany, annexing most of it. They claim this is necessary to take action against "anarchists" that commit domestic terrorism inside German borders, who are stereotyped as being largely antipatriotic Poles.