No. Only administrators who have access to the plugin's settings page can link cloud accounts. Letting end users link their own accounts is not supported, and not planned.
You're probably looking for Personal Folders
If your goal is to give each end user their own private space within your site, that's a different feature, and it does exist. With Personal Folders (powered by Dynamic Folders), each user gets a dedicated folder inside your linked cloud account. Users can upload, download, and manage their own files in isolation, without ever needing their own cloud account.
Use cases include client portals, photographer galleries, law firm document sharing, and vendor distribution. See the Personal Folders documentation for details.
Why end-user linking isn't supported
Although it would be technically possible to let users link their own cloud accounts, this would create a serious security risk. Your WordPress installation would need to store permanent access tokens for every linked user account so it could fetch their content on demand. If the WordPress site were ever compromised, an attacker would gain access to the cloud accounts of every linked user, not just yours.
The Personal Folders feature above gives you most of the multi-user functionality without exposing user accounts.