Тапочек,
<!DOCTYPE html>
<html>
<head>
<title>Страница</title>
</head>
<body>
<img src="" class="pic">
<script>
const picurls = [ //порядок картинок зависит только от вас, тасуйте как хотите
'https://picsum.photos/300/100?1',
'https://picsum.photos/300/100?2',
'https://picsum.photos/300/100?3',
'https://picsum.photos/300/100?4',
'https://picsum.photos/300/100?5',
'https://picsum.photos/300/100?6',
'https://picsum.photos/300/100?7'
];
const now = Date.now() -(new Date().getTimezoneOffset()) * 60000;
// мс с 01.01.1970
const msinday = 1000 * 60 * 60 * 24; // мс в сутках
const nowDay = Math.trunc(now / msinday); // дней с 01.01.1970
const ind = nowDay % picurls.length;
const url = picurls[ind];
document.querySelector(".pic").src = url;
</script>
</body>
</html>