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For all intents and purposes, yes. In UCSB Connect (GMail), there is an Icon that looks like this:
Clicking on the Down Arrow portion will pull up a menu and you can click on Report Phishing for that particular email.
This will give Google a sample of the phishing email to help improve their ability to filter future emails of this nature.
If you are not using the UCSB Connect (GMail) Web Interface, your best option is to report the email through the Web Interface.
You can follow the guide on how listed here:
How should I report a phishing attempt?
Please also refer to https://security.ucsb.edu/report-incident/report-harassing-or-unwanted-email on reporting phishing attempts.
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