I'm pretty sure you can add phpMyAdmin or search for another admin interface which has access to use specified commands in your
databases by creating it in your website directory.
I've made something similar when I had a game server where the admins could add/remove credits, items and others from users accounts, so you can create a similar system for your needs, it's also a better solution for your security when an admin can edit certain tables and rows and not drop all your tables.
What you should be aware of
Altought if you are going for such a solution you have to password protect it and be aware of XSS attacks and other injections in it because it can be sloppy especially if you use admin interface from the internet and not going for a custom one, people put shells in this features in at least 40% of the cases.
The easy way to go for it
phpMyAdmin is a trusted feature, you can add it in your website directory and only share the user and password for the current site with your staff members, I recommend using custom solution because everybody having access to phpMyAdmin can also drop tables, modify rows etc..