No. You can’t share a folder that’s inside of a shared folder unless you’re using a Dropbox Business account.
If you have a Basic, Plus, or Professional Dropbox account, there are some other options you can take.
Dropbox Business team members can share folders that are inside of team folders, which is a type of shared folder that’s only available to Dropbox Business users. Team folders can only be created by the team admin. Learn how to find and contact your team admin.
You can’t share a folder inside of a shared folder, unless you’re a Dropbox Business user. However, you do have some other options: