"a possible way" is correct and can be used in written English.
Example: Working together, we will find a possible way to resolve this issue.
These "possibilities" are intended to represent a possible way a game situation may evolve.
But here's a possible way of arguing for them.
I think that's a possible way to take it.
The French proposals seem to offer a possible way.
A possible way of analyzing such distributions in bubble size, statistically, is proposed and discussed.
We explain where the problem originates and comment on a possible way to overcome it.
A possible way to account for the impact of wrinkling is discussed.
A possible way to proceed is building complementarities between these two types of experiences.
The research also identifies a possible way to stop the process from happening.
Our article offers a possible way to help people understand their differences.
Their installation is also perceived as a possible way to preserve biodiversity in cities.
