No, it is not recommended to install Magento and WordPress in the same directory. Magento and WordPress both have their own databases and directory structures, and installing both in the same directory can cause conflicts and instability.
However, there are some techniques which may be used to integrate Magento and WordPress together. Here is a list of them:
Use Magento as the primary platform and install WordPress as a subdomain.
Use Magento for the shopping carts and checkout processes and then integrate WordPress content with Magento using an embedded iFrame.
Use a headless Magento approach with a WordPress frontend.
Integrate WordPress and Magento with a third-party module.
Refer to this article for more information and detailed steps on how to integrate Magento and WordPress: https://combidesk.com/integrate-magento-wordpress/