The short answer is no, not currently. See Manton’s answer in this thread.
The slightly longer answer is no; there’s currently no solution for exactly that. But, there’s a plug-in called Reply on Mastodon that shows a button on cross-posted blog posts that takes the visitor to the conversation on Mastodon. In theory, a programmer should be able to fetch the conversation from Mastodon and present it inline on your blog as well. But no one has built that for Micro.blog. At least not that I’m aware of.