Millions and millions do that, yes.
Not, it is not millions and millions. And many elder people moving to other countries do so because in that country their pensions allow them a modest lifestyle they cannot support in Germany anymore.
All in all, poverty and wealth migration by numbers of individuals do not compare.
What we have in Germany is a growing trend that families and children send their old parents to old-age homes in Poland, Czech Republic, Thailand and some other places in Asia, because they cannot pay for places in homes for the elderly in Germany, the costs become too high for many. I take it that this also is not what you mean by "wealth migration"...?