@Thadeusz-Lay don't think there are hooks to do that. You can accomplish it by adding some js and css in ACP -> Appearance -> Custom HTML & CSS.
Here is an example. You will need to add code to handle what needs to happen on clicking the button.
Custom Header:
<script type="text/javascript">
$(document).ready(function() {
$(window).on('action:ajaxify.end', function(ev, data) {
$('[component="account/cover"] .avatar-wrapper').append('<button class="btn-new"><i class="fa fa-plus"></i></button>');
});
});
</script>
Custom CSS:
.avatar-wrapper .btn-new {
height: 2em;
width: 2em;
line-height: 2em;
border-radius: 50%;
border: none;
background: #F44336;
color: #fff;
overflow: hidden;
top: 93px;
left: 4px;
position: absolute;
}