@JLeslie – There are no longer any Amish in Germany, although there are still Mennonites and various groups of Anabaptists. In addition, the Amish are part of the “Pennsylvania Dutch” but not all of them by any means.
Here is a nice summary of the history of the Amish, the Mennonites, and the Brethren. They left Europe (Germany, Holland and Switzerland specifically) because of persecution. Most of the Amish went to the New World, leaving only a few behind. Eventually those few joined with the Mennonites, so today there are no Amish in Germany.
The link above says specifically:
“Most of the members who remained in Europe rejoined the Mennonites. Few Amish congregations existed by 1900. On 1937-JAN-17, the last Amish congregation—in Ixheim, Germany—merged with their local Mennonite group and became the Zweibrücken Mennonite Church. The Amish no longer existed in Europe as a organized group.”
The Pennsylvania Dutch are made up of a mixture of German, Swiss, and French Huguenots who arrived in Pennsylvania prior to the Revolutionary War and the War of 1812. They mostly came from the part of Germany called the Palatinate. It includes people of various religious affiliations, most of them Lutheran or Reformed, but many Anabaptists (Amish and Mennonites among others), non-Christian, and non-religious as well.
In some areas today, people reserve the term “Pennsylvania Dutch” for the Amish mostly because the descendants of the rest of the Pennsylvania Dutch consider themselves simply Americans. They no longer speak any form of German and have gone into all different fields of endeavor, while the Amish have maintained their separateness. However, technically the term includes all of the immigrants from from various parts of the southern Rhineland, Palatinate, the southern part of Hesse, Baden, Alsace Switzerland, and Tyrol Austria to Pennsylvania (although some went to other parts of the US, too).
So, there you have it: no, yes and no, and sometimes.