Can A Super Skrull With Thor's Power Lift His Hammer Mjolnir? It's Complicated

Based on their depiction in "Secret Invasion," it seems as though Super Skrulls can only absorb genetic qualities that manifest as superpowers. For example, they don't appear to be able to replicate learned abilities, such as Tony Stark's genius-level intellect or Stephen Strange's sorcery, and almost definitely couldn't integrate technological gifts such as Spider-Man's web shooters into their Skrull biology with DNA alone. So what would Thor's DNA give G'Iah? Based on the events of "Thor" and "Thor: Ragnarok," pretty much nothing.

Asgardian biological gifts amount to enhanced strength, speed, and durability, all of which G'Iah acquired (arguably in greater measure) via the Titan genetics of Thanos. Furthermore, Thor's specific, god-like physical enhancements seem not to be genetic qualities, but divine gifts that can be given and taken away by Odin. Though the All-Father proves to Thor in "Ragnarok" that his powers of lightning are at least in-part independent from his wielding of Mjolnir, these gifts seem to be an extension of his godhood rather than genetic superpowers.

In short, Thor's DNA is relatively useless to G'Iah and — unless "worthiness" comes down to genetic markers — is entirely irrelevant to her ability to lift Mjolnir. That is, until you consider the Rogue Principle.