No, none. There's nothing to corroborate the existence of any real individual of that name, and certainly none to corroborate the existence of anyone associated with the stories he's associated with. Our earliest evidence for the character lies in legendary sources like the Homeric Iliad and Odyssey (prob. mid-7th century BCE) and early Etruscan vases with depictions of him (from ca. 625 BCE onwards). There's nothing to rule out his existence either, but making up people to fill up history isn't really a sensible way of going about things.

In addition, there's nothing in the later evidence to create a presumption of his having existed. His popularity in Etruria may well stem directly from the Homeric Odyssey; local myths sprang up about him, his family, and their heritage both in Etruria/Latium and in Epeiros/Thesprotia (north-western Greece); there are also numerous stories pinning various activities of his to other sites around Italy and Greece, but they're all transparently aetiological myths of a very familiar kind. Two separate sites are attested for the location of his grave, one in each place -- at Cortona, in Etruria, and in Thesprotia -- with various inconsistent myths attached to each of them. There seems to have been a cult-site at at least the latter. But this is all par for the course for ancient heroes and gods: two grave sites for Odysseus doesn't prove the existence of one historical individual any more than the grave of Zeus in Crete proves that Zeus was once a mortal king who lived there. And as I say, we don't have anything on Odysseus until the sudden popularisation of the myths in 7th-century-BCE Italy.

TL;DR: no, there's nothing to create the presumption of any historical basis. Anything that may look to a casual observer as though it points that way is really par for the course for purely mythical figures.