Prophecy for Israel can come from the mouths of anyone, even gentiles (Bila'am). The prophecy in Hosea refers to divine retribution in the form of destruction of the two temples (two days), and a future raising of the third temple and restoration of Israel's worship through it (third day).
On the "days" passage (v2), Rashi says:
He will revive us from the two days: He will strengthen us from the two retributions which have passed over us from the two sanctuaries that were destroyed.
on the third day: With the construction of the third Temple, He will set us up.
This goes hand in hand with us striving to know God (v3), who will come to us "like rain": like the essential, heaven-sent nourishment promised -- if the people obey God's commandments -- in Deut 11:13-15. Perhaps this verse refers to that gift from God, or perhaps it refers to God Himself coming to the people. How does He do that? From Exodus and Leviticus we know that God descends in a cloud in the tabernacle "to dwell among them", and it seems reasonable to believe that God is equally (and similarly) present in the temples that follow(ed).
So while it's almost always possible to find any interpretation you want in a text if you look hard enough, an interpretation based on prior events and current context is more likely to be correct than one that speculates about new, unprecedented events. Nothing in Hosea suggests that God will take human form, but texts known to Hosea and his audience talk about God coming, and sending bounty to, the people in other ways. The simplest explanation, therefore, is that Hosea meant that. The one who would claim it means Jesus bears the burden of proof.