Yes, you can help your family or friends receive their compensation.
If they are in your booking you can include them while filing the claim in this site. They will need to sign a document later, or now using your device. Not for children, they are represented by their guardian.
For people in other bookings another claim must be filed. We can contact them instead, just send us their email addresses.
Your case has a better chance of success if we have many claims in the same flight, so it is better for everybody (oops, except the airline) if you talk to other passengers and everybody joins.