yes there is a way you can create a form for google search and with a specific domain If you have this snippet

<form action="https://google.com/search" target="_blank" type="GET">
  <input type="search" name="q">
  <input type="submit" value="Search In Site">
</form>

 
simply by javascript you can do
 

var form = document.querySelector("form");
form.addEventListener("submit", function (e) {
  e.preventDefault();
  var search = form.querySelector("input[type=search]");
  search.value = "site:geekstrick.com " + search.value;
  form.submit();
});