Verb (ない-stem) + ないものでもない

[It's not that one can't / Not entirely impossible]

Connection: Verb (potential ない-form stem) + ないものでもない

Usage: An even more hedged version of ないでもない. Suggests that while difficult or unlikely, something is not completely impossible. Often implies conditions or reservations.

Examples:

条件次第では、引き受けられないものでもない。(Depending on the conditions, it's not that I can't take it on.)

工夫すればできないものでもない。(If you put some thought into it, it's not entirely impossible.)

頼み方によっては、許可が出ないものでもない。(Depending on how you ask, it's not impossible to get permission.)