No. You'd have an empty element (a div probably) somewhere with

hx-swap-oob="true" id="myStatusDiv"

. Then you make sure the server includes the message in a div with that id and and attribute, such as

html
<div id="myStatusDiv" hx-swap-oob="true" class="success">
We did the thing!
</div>

on success or

html
<div id="myStatusDiv" hx-swap-oob="true" class="error">
We couldn't do the thing!
</div>