作为固定短语,没有。
不像 by oneself, to oneself 这些都算惯用短语,如一楼所言,见到 on oneself 时多半是跟在如 depend on / rely on 这类动词短语之后。
on one's own 就有,比如:
You must complete this on your own.
They decided to solve this problem on their own.
on one's own = by oneself
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