Is it possible for an alligator snapping turtle to be born in calumet michigan?

Highly unlikely. The natural range doesn't get north of southern Iowa. Look at the side of the upper shell. The marginal scutes form a ring around the edge. The next row of four are the lateral scutes. Are there three small scutes between the marginals and the laterals on each side? If not, you have a common snapper. The young ones also have "spiked" backs.