The phrase "a possibility that cannot" is correct and usable in written English.
It can be used when discussing scenarios or outcomes that are unlikely or impossible to occur.
Example: "There is a possibility that cannot be ignored, which is the risk of failure in this project."
Alternatives: "an option that is not feasible" or "a chance that is impossible".
Such a result would exclude the possibility that this effect is restricted to space near the body or hands—a possibility that cannot be excluded, on the basis of many of the previously published reports (Haggard & Jundi, 2009; Linkenauger et al., 2010; Marino et al., 2010).
Meaning persists as a possibility that cannot be eliminated.
Failing to establish a repository is "a possibility that cannot be ignored," the judges said.
But it is a possibility that cannot be dismissed in the current climate.
The fact that the Norfolk constabulary is in control of the investigation suggests that, while terrorism is a possibility that cannot be discounted, at this stage there is no evidence to suggest that.
aThere is a possibility that cannot be denied that 來 lai and 著 zhe in 來著 laizhe may be reanalyzed as a compound in modern Mandarin due to some morphological reason although they should be decomposed into two independent predicative utterance particles historically.
He emphasises the contingency of the latter fact because he regards backwards or time-reversed causation as a conceptual possibility that cannot be ruled out a priori.
And it is this awareness of death as an omnipresent possibility that cannot become actual that stops the phenomenological analysis from breaking down.
However, an additional possibility that cannot be ruled out is that EFHC1 is not the actual causative gene and that mutations in some unexamined nearby element functionally unrelated to EHFC1 are the cause of 6p12-p11-linked JME.
One additional possibility that cannot be ignored involves a recessive model in which the patient had, for example, a deletion of one allele and a point mutation in the other.
"One possibility that cannot be ruled out," Ms. Snell wrote in a research note to clients, "is a hostile bid from another major record company, which could then attempt to secure approval from the regulator by aggressively disposing of assets".
