GRAMMAR DETAIL

〜ないものか

is there no way to

Asks with a strong hope whether there is some way to bring about a desired state.

Examples

この問題を別の方法で解決できないものか。

Is there no way to solve this problem by another method?

もう少し静かに話せないものか。

Could you not speak a little more quietly?

この混雑を少しでも減らせないものか。

Is there no way to reduce this congestion, even a little?

Structure: Follow a negative form with ものか to ask with strong hope whether a desired outcome could be made possible. Negative potential forms such as できないものか are common.
Basic usage: この問題を別の方法で解決できないものか。 asks about another possible solution with a strong wish to find one.

Distinction from rejecting ものか
- 解決できないものか asks in the hope of finding a solution. そんなことをするものか is a strong refusal to do such a thing, so its direction of meaning differs.
Tone when addressed to someone
- もう少し静かに話せないものか can sound like a dissatisfied demand for quiet rather than a simple question about ability. For a polite request, a form such as もう少し静かに話していただけますか can be used.