The phrase "possess skill" is correct and usable in written English. You could use it when referring to someone who has a certain skill or ability. For example, "It takes a great deal of skill to win a chess game, and the Grandmaster possesses that skill.".
"Because the Metropolitan is so large and complex an organization, whose staff possess skill sets crucial to maintaining its buildings and collections successfully, such a contraction requires a deliberate and delicate process, which museum management, while acknowledging the urgent need for reductions, is committed to undertaking with the greatest care," the museum said in a statement.
Successful Formula 1 drivers possess skill, agility, speed and borderline-messianic levels of self-confidence.
Construction workers, many of whom are out of work, possess skills needed to install the systems.
But they demonstrate what games can do: put us in unfamiliar places, and show us we possess skills we didn't know we had.
Kirsten doesn't believe there's any conspiracy behind her career plateau, or that the other girls possess skills she doesn't.
CIOs usually possess skills in what works for corporate computing.
To remain competitive, a candidate must possess skills and experience developed from both structures.
Ludwig does not simply clarify my doubts with English writing, it enlightens my writing with new possibilities
Simone Ivan Conte
Software Engineer at Adobe, UK