It most certainly could. But that depends upon whether you are dividing up Germany based on present day divisions or on past divisions (which were many, and were constantly changing their borders and names).
I will run through present day Germany now: there are 16 Länder.
Bremen---- Bremen, Bremerhavn
Bayern---- Munich, Nurenberg, Augsburg,
Regensburg, Ingolstadt, Würzburg,
*Baden-Wurttemberg-- Stuttgart, Freiburg, Heidelberg, Ulm
xBrandenburg--- Potsdam, Cottbus, Frankfurt/Oder
*Hessen--- Frankfurt/Main, Wiesbaden, Offenbach/Main, Darmstadt, Kassel,
*Niedersachsen---Hannover, Braunschweig [Brunswick], Oldenburg
*NordRhein-Westfalen--- Cologne, Dortmund, Essen, Duisburg, Düsseldorf, Bonn, Wuppertal, Oberhausen, Solingen, Siegen
*Rheinland-Pfalz--- Mainz, Koblenz, Kaiserslautern, Trier, Worms, Speyer
xSachsen--- Dresden, Leipzig, Chemnitz, Zwickau
xSachsen-Anhalt----- Magdeburg, Halle
xThüringen---- Erfurt, Jena, Weimar, Gera
Americans with early German immigrant ancestors would best consult first those Länder with a * before the name. Those Länder with an x before the name were part of former East Germany, and would likely not be a source for late 20th century immigrants. But of course, all rules are breakable.
Before 1945 there could be several hundred quasi-sovereign states of various sizes within (and sometimes without) the Holy Roman Empire, depending upon the period which one is considering. It would take months to list them all.