You sure can, here's how:

1. Download and install FileZilla -- it's easy!
2. Go to the Servers page on our control panel, click on Manage for your server, and click on the SFTP tab.
3. Stop the Ark server to reveal your SFTP credentials, and use those to log in through FileZilla.
4. Find the source folder that you'll be copying save files from. This will be C:\Program Files (x86)\Steam\steamapps\common\ARK\ShooterGame\Saved\SavedArksLocal on Windows. On Linux, it'll be something ending in ShooterGame/Saved/SavedArks.
5. Navigate to the remote folder /arkserver/ShooterGame/Saved/SavedArks and delete everything in that folder.
6. Copy all files from the source folder to /arkserver/ShooterGame/Saved/SavedArks.
7. If you are copying from a local server, some files will start with LocalPlayer. Files starting with LocalPlayer need to have the word "LocalPlayer" replaced with your steam id. To get your steam id, login to store.steampowered.com in your browser, navigate to your profile, and look at the id in the URL.
8. You'll need to configure your settings and mods all over again. Fortunately, our awesome control panel makes this easy!