Oh yes they did. In fact Hungary wa snot occupied until 1944 because it was considered an ally. Both Hungary and Romania had nationalists parties ruling .However there was a growing resistance against staying witht Axis (they were more or less forced , in a political and economical way) but when things worsened for the Axis in 1944, Horthy, the leader in Hungary had not much to say. the Germans deiced to deport Hungarian Jews massively , depsite Wallenberg's opposition (he saved Hundreds who fled to the Swedish Embassy) . As the Red army approached Horthy's dreams of great Hungary comprising Transylvania and parts of ther neigbours collapsed for good

Here is a nice Wikipedia link:

Miklós Horthy - Wikipedia, the free encyclopedia

"National parties in Romania and Hungary were at least partially successful in breaking the full force of Nazi attempts to penetrate all aspects of society: King Boris managed to keep Bulgarian troops out of Russia; Admiral Horthy managed until 1944 to keep Hungary free from occupation by Germany and, both countries managed to hold off intially the full impact of the main ideological assaut from Naziism against the Jews. In many cases nationalism was the bulkwark against both Naziism and Communism with national parties consolidating power in the early stages of the war at the expense of home grown Nazi parties. From Hitler's Jackals by Rupert Butler

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