No. Considering the MK V was introduced in 2551, and in the two final years of the War, Halsey was never captured; she couldn't have been to work on new MJOLNIR generations. So the only logical reason is in the 26 years before. Also, Solomon and Arthur were dead BEFORE the Battle of Reach, the Master Chief got his armour after the battle; After the Battle, when he got the MK VI armour, he didnt have enough time; almost immediately, he joined in the defense of Earth, the battle of Installation 05, The second Battle of Earth and the Battle of Installation 00. After the Ark, he was frozen in Cryo before the events of Origins and Halo 4.
Another point to add is that Kelly was not found until 2553, by which time, Tje Chief had been in Cryo. This adds further proof.
In other words, canonically, the armour in The Package cannot have been any armour other than MK IV, as MK VI was in service for about a month before it was not used again. Bear in mind that MK IV was used for the majority of the war, so this isn't impossible but more likely.
Thisisnt possible- the MK II and III suits were designed much like the Cyclops- heavy, bulky and had to be attached to nearby generators- utterly useless on the battlefield. They were used for heavy lifting and for marines to trainthe spartan II's safely in hand to hand combat. They were never deployed in battle