The phrase "almost impossible range of" is correct and usable in written English.
It can be used to describe a set of options or possibilities that are extremely limited or difficult to achieve.
Example: "The project faced an almost impossible range of challenges that made success seem unlikely."
Alternatives: "nearly unattainable range of" or "virtually impossible range of".
With an almost impossible range of crises on its hands—food shortages, destroyed power plants, a quarter of the population living as refugees the de Gaulle government had neither the time nor the capacity to create an entirely new health-care system.
With an almost impossible range of crises on its hands — food shortages, destroyed power plants, a quarter of the population living as refugees — the de Gaulle government had neither the time nor the capacity to create an entirely new health-care system.
Intercourse was reported to be almost impossible because of this pain.
A perfect contig map is almost impossible because of imperfect fingerprints and assembly errors.
It is almost impossible to think of the ancestry and relationships of living beings without it.
It is almost impossible to think of the ancestry and relationships of living beings without them.
This will be even more difficult and almost impossible for convergence of fixed and mobile services.
In the appalled aftermath of the Boston marathon bombings, rumours and conspiracies were almost impossible to avoid, ranging from allegations against an innocent Saudi witness to a digitally manipulated hoax clip from the cartoon series Family Guy.
It was almost impossible to reach values greater than 35 or 36 years for men while keeping the main parameters within a range of realistic values.
Moreover, determining the costs associated with each exposure agent presents another challenge: It would be almost impossible to assign portions of dollars expended within a grant on the diverse range of potential toxic exposures with any degree of consistency.
"Today, it is almost impossible to keep up with the range of food companies sponsoring research – from makers of the most highly processed foods, drinks, and supplements to producers of dairy foods, meats, fruits, and nuts – typically yielding results favorable to the sponsor's interests," Nestle said.
