Yes, you can. In the mobile app, go to the ME screen and tap on the MOOD option at the top. You will see an "Export" icon in the upper right corner.
In the web version of the app, find the "Export" icon in the upper right corner of the ME page.
Tapping on the "Export" icon will let you choose a report for this week or last week to send to yourself or someone else (like a family member or therapist).