No, a popup is not required, it can be part of the privacy policy.
https://termly.io/faq/do-i-need-a-cookie-policy-on-my-websit...
https://termly.io/faq/do-i-need-a-cookie-policy-on-my-websit...
"We use essential cookies to make our site work. With your consent, we may also use non-essential cookies to improve user experience and analyse website traffic. By clicking 'Accept', you agree to our website's cookie use as described in our Cookie Policy. You can change your cookie settings at any time by clicking “Preferences”. Preferences/ Decline/ Accept"
if you're not doing that then they're telling you that you don't need a pop-up.
A bit funny that this page does show a large popup so that you can accept their use of cookies.