"extend the possibility" is correct and usable in written English.
You can use it when you are talking about creating more opportunities or options for a particular thing or situation. For example, "By introducing more flexible policies, we can extend the possibility of working from home for our employees."
Both books and friendship extend the possibility of immersion in another consciousness.
It isn't clear that the digital economy can provide the working conditions needed to extend the possibility of bourgeois comfort and status to a broader class of people.
Increased associational potential and memory extend the possibility of learning from experience, and the individual can make adaptive behavioral responses to environmental change.
Two capture strategies are then proposed to engineer and extend the possibility for capture of the minor asteroid in binary pair.
Equipping the device in the future with valves that close and open securely in both directions would vastly extend the possibility of using this technology to other applications, in addition to this method of TSA process for air separation.
In an effort to extend the possibility of the moment, we came up with what I privately christened "the murder truck": a mobile billboard with an electronic screen counting the number of Americans murdered with guns since the Gabby Giffords shooting.
In other instances he collaborated with artists like Larry Rivers, Franz Kline, Norman Bluhm, Joe Brainard, Michael Goldberg and Alfred Leslie to create pieces that extend the possibilities of language and perception.
This direct in vitro selection technique should extend the possibilities for the design of other surface-binding growth factors.
We developed a method to pattern V. convallaria in micropockets to extend the possibilities for device design.
It enabled him to extend the possibilities of the instrument and create a huge sense of space while retaining its intimacy and nuance.
Artificial intelligence is not a new concept but was introduced in the mid-1950s to extend the possibilities of representing and processing knowledge with machines.
