Yes, I guess it is possible now that you put it that way. Do you know any more about Michal and the family that moved from Poland? Siblings? Immigration dates? Where they were born? What church they attended? Any little clue helps.
I have befriended two Kaczmareks that live in Poznan, Poland through Facebook. They are both willing to try to help me find information in Poland that I haven't been able to access. Problem is, Kaczmarek is SO common in Poland - especially in Poznan. One of them told me that Poznan is called the "City of Kaczmareks"!!!
I think without having a professional genealogist or actually traveling to Poland, my search is going to be a difficult one, for sure!
Please share any links, other family trees, or contacts that you have used to find what you know...I would appreciate it so much!