Essentially, no for Eastern Europe; places like Poland and Russia had their own evolving systems of unfree labour and were poorly situated to engage with the transatlantic slave trade coming out of Africa, which was almost exclusively the preserve of Western European or American traders, not to mention at least in Poland and Lithuania slavery had been formally abolished by the time the transatlantic trade was getting underway. Scandinavia had some small involvement, but we are talking about something like 1% of the global slave trade, figures which may also account for whatever limited Eastern European involvement there was; see this post on Sweden here.

In the case of Asia, certainly a (comparatively) small number of African slaves were taken to places like modern-day India or Sri Lanka, with several thousand descendants still living in those countries, and there is a wider history of Africans being taken to South Asia via the Middle East in older forms of the slave trade. Neither of these phenomena compare to transatlantic slavery in terms of their scope or consistency, however.