Federal law doesn't allow that, unless you have a FFL yourself.
If it was a C & R pistol, and you had a C & R license, you could do it. If you had a regular FFL, you could get it for sure. But I take it neither is the case, so you will have to have it shipped to a FFL dealer in Michigan, and pay shipping and FFL handling fees.
Out of state handgun purchases are a pretty big no no in Michigan. In free states there is no such thing as handgun registration, and it would be easier to feloniously break the law and get away with, and I'm sure it's done all the time. But there is simply no way you can do it and stay legal.