The phrase "possible lack of" is correct and can be used in written English.
It is often used in situations where something may or may not be lacking. For example, "We must consider the possible lack of resources when making our decision."
Asked whether he was worried about the possible lack of excitement, he laughed and said: "That's a pretty legitimate question.
But there were weaknesses, such as "a lack of focus on results and a possible lack of professionalism".
I should of course declare an interest, or possible lack of it, as I don't blog, tweet, text or surf and don't know my apps from my elbow.
Pele praised Dunga's record but was concerned about a possible lack of World Cup experience among the players expected to be picked for the squad.
I feel sorry for Harvard's president, Lawrence H. Summers, and his unfortunate remark about women's possible lack of inborn aptitude for math and science.
But nothing, other than a possible lack of constitutional empowerment, prevents the federal government from picking up the baton and running with it.
Despite his lack of hardcourt match preparations, Murray played down concerns over his possible lack of preparation for the United States Open.
Paul C. McIntyre, a professor of materials science and engineering at Stanford, was intrigued by the Eureka Fund model but slightly concerned about a possible lack of controls.
N2 sleep then might partially compensate for a possible lack of SWS in SM patients.
These results implicate a possible lack of effect of neurofeedback when one accounts for non-specific effects.
The only problem Kramer sees with the new Naissance Capital fund is its possible lack of diversification.
