The answer is NO.
You can say the following:
She found her lost dog only by chance. -- OK
She found her lost dog purely by chance. -- OK
She found her lost dog absolutely by chance. -- OK
She found her lost dog all by chance. -- Wrong
Hope this helps.
Cheers
Note: 本人已在海外生活了数十载。为了慎重起见,我的答案都与老美或老英交换过意见,你放心使用吧。如有任何问题,可补而述之。
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