The phrase 'challenge the possibility' is correct and usable in written English.
You can use this phrase when you would like to express that you are questioning or pushing back against the potential outcome of something. For example, "I challenge the possibility that this outcome could be our only option."
FOOTNOTES [1] Philosophers typically take ancient skeptical arguments to challenge the possibility of knowledge.
Now Pastor Foster and her roughly 100 congregants face a new challenge: the possibility that she, along with four other pastors in the New York area and 81 nationwide, could be defrocked in 2009 by the Evangelical Lutheran Church in America.
More generally, plausible arguments challenge the possibility of value-free economic theorizing (see e.g. Mongin 2006).
Regan, for example, uses an argument along these lines to challenge the possibility that values are incommensurable (1997, 135).
However, their accounts challenge the possibility of understanding individuals as knowers in isolation from their communities, and press for a better understanding of the relative roles of individuals and communities in knowing.
Even though the initial size of a silver perch larva is smaller, its initial yolk sac volume is relatively larger in terms of the YsL-TL ratio (0.54) than for Thai pangas (0.42) (Islam 2005), illustrating that the larvae is better equipped, in terms of its endogenous reserve as an energy source, to challenge the possibility of delayed exogenous feeding.
Made for instruments and groups sounding from different parts of the auditorium, they change the single perspective of the concert hall and challenge the possibilities of sound reproduction.
Our unlikely collaboration allowed each of us to explore and challenge the possibilities, limitations, and consequences of our approaches to the study of gender and finance and, ultimately, to make new knowledge.
The Carnegie report challenged the possibility that Mr. Hussein could have destroyed the weapons, hidden them or shipped them out of the country.
It challenges the possibility of local, community-based development solutions and imposes serious constraints on the implementation of the SDIDS agenda.
