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No. In fact, the file django/contrib/staticfiles/finders.py even checks for this and raises an ImproperlyConfigured exception when you do so:
“The STATICFILES_DIRS setting should not contain the STATIC_ROOT setting”
The STATICFILES_DIRS can contain other directories (not necessarily app directories) with static files and these static files will be collected into your STATIC_ROOT when you run collectstatic. These static files will then be served by your web server and they will be served from your STATIC_ROOT.
If you have files currently in your STATIC_ROOT that you wish to serve then you need to move these to a different directory and put that other directory in STATICFILES_DIRS. Your STATIC_ROOT directory should be empty and all static files should be collected into that directory (i.e., it should not already contain static files).