Very possible. I would recommend Ingo Hasselbach's memoir Fuhrer-Ex if you're interested in this topic. Hasselbach was a Neo-Nazi leader in East Berlin in the 1980s and 90s before abandoning Nazi ideology in 1993. His book is fascinating; it methodically details the building of the East German Neo-Nazi movement, both before and after the fall of the Berlin Wall. He mentions social circles of elderly Nazis in the DDR, who had hidden Nazi propaganda materials in their houses and in some cases indoctrinated their children and grandchildren. Hasselbach mentions at least one case of a third-generation secret Neo-Nazi in the DDR. However, he makes a clear distinction between these elderly Nazis, most of whom were not particularly high in the Third Reich hierarchy, and several Nazi war criminals he met while imprisoned in the DDR. These men had adopted false names and lived in DDR society for decades before becoming uncovered and imprisoned for their wartime crimes. They also indoctrinated many young people, including Hasselbach, who served in prison with them.

Hasselbach doesn't specifically address the issue of how 'ordinary' DDR citizens with Nazi sympathies were able to hide them, but it's worth mentioning that in the case of many younger people, they didn't exactly hide them--Neo-Nazi activism was a form of rebellion against the DDR state, and many of them were in a revolving door of prison and parole for years. It's also my recollection from other sources that de-Nazification in the DDR, while more extensive than in the BRD, was very selective in areas where the DDR had shortages of certain skilled professions.

http://www.worldcat.org/title/fuhrer-ex-memoirs-of-a-former-neo-nazi/oclc/32854164