The All-in-One WP Migration plugin retrieves and stores WordPress data using MySQL/MariaDB (posts, pages, comments, users, and more). A database limit set by the hosting provider may be encountered on severely limited hosting plans.

Here is a list of all the limitations that All-in-One WP Migration has:

MAX_QUERIES_PER_HOUR
The maximum number of queries an account can send per hour.

MAX_UPDATES_PER_HOUR
The maximum number of updates that an account can send out per hour.

MAX_CONNECTIONS_PER_HOUR
The number of connections an account can make to the server per hour.

MAX_USER_CONNECTIONS
The number of simultaneous connections allowed.

If you come across such a limit, contact your hosting provider and ask if it is possible to increase it.