No, for the reasons discussed above. AH.com has a bit of a tendency to underate the Sassanids I find; they were every bit a match for the Roman Empire until the very end of the Sassanid period when Heraclius thoroughly destroyed them by sacking Ctesiphon and burning Mesopotamia and western Persia.
Anyway, I digress. Justinian can't really turn East, because Ctesiphon is the only power in the world that can compete with him on an equal footing. The Ostrogoths and Vandals were both crippled by civil wars, and, in the case of the Vandals, considerable unpopularity with the local Roman populace. Justinian's campaigns were based to a large degree on opportunitism: and to the East, these opportunities did not appear in the Sassanid Empire (except in Iberia in the 550s). So he won't go there.
If the Sassanids collapse into civil war though for whatever reason (let's say the 542 plague devastates Persia and has minimal impact on Rome) then it's plausible Justinian will attempt to extend his control deeper into Mesopotamia and the Caucasus.