Merging two websites with different databases may be possible depending on the type of databases and how they are structured. One possible way is to use SQL commands to insert data from one database into another.
Another possible way is to use a data integration tool combining data from multiple sources. However, merging data may also involve challenges, such as resolving conflicts, ensuring consistency and avoiding duplication. You may want to consult a professional web developer for more guidance on how to merge your websites safely and effectively.