Код:
<!--HTML-->
<p></p>
<p>text2</p>
<p>text3</p>

<script>
let elems = document.querySelectorAll('p');

for (let elem of elems) {
	elem.addEventListener('click', function func() {
    let input = document.createElement('input');
    input.value = elem.innerHTML;
    
    elem.innerHTML = '';
    elem.appendChild(input);
    
    input.addEventListener('blur', function() {
    	elem.innerHTML = this.value;
    	elem.addEventListener('click', func);
    });
    
    elem.removeEventListener('click', func);
	});
}
</script>