Umm, I don't know, but I've never seen St. Joseph the Betrothed given this prominence in the Nativity Icon, and of course, the "All Holy...Ever Virgin Mary...," the Theotokos, is traditionally depicted laying down, having given birth. St. Joseph, when depicted in the Nativity icon, is traditionally depicted in a smaller size, less significant, being tempted by a demon (or the Devil), who reminds Joseph that, as his betrothal wasn't consummated, how could this women bear a child? (There is another topic on "OC.net" with an elaborate discussion as to what St. Joseph's place is in the Orthodox Church and what "betrothal" meant in that era.)
Archbishop Chrysostomos of Etna, a separated traditionalist Old Calendarist Exarch in the "moderate" Greek Synod in Resistance, exhorts, "Imitate, don't innovate."
Accordingly, and respectfully, I'm inclined to say, "no," this depiction is not an acceptable Icon of the Nativity of Christ.