Dear all, I need your help! I can't figure out the difference between amiss and wrong.

In these following sentences, are they interchangeable?

<em style="color: rgb(29, 42, 87);">Their plans went amiss when Peter became ill.</em>

<em style="color: rgb(29, 42, 87);">Their plans went wrong when Peter became ill.</em>

Thank you!!

Giulia