Page-by-page migrate from the old site (Yii / PHP 5.4) to a new (Laravel)

The Insurance company website on Yii, PHP 5.5 with 95% old and 5% new design, bad customer journey map, a lot of junk and glitches. It makes no sense to update it, we will spend more time on fixes and optimization than a new development.

We want to migrate the site to the new framework Laravel, updating the entire design to fit the new style. Development will take years – more than 500 pages and a long approval cycle for each.

Questions:
Is it possible to gradually move from one framework to another, replacing the site page by page until we update everything? How can it technically be done so that you can switch from one framework to another depending on the page. Does it make sense?
Could you tell us about your cases or suggest other solutions?
Thanks in advance!