Yes, this can be verified by going into the donor's interactions page of the Constituent360 record:
  1. Navigate to Constituent360 > Constituents
  2. Enter the name of the constituent
  3. Click Find
  4. Under the Actions column, click View on the appropriate record
  5. Select the Interactions tab
  6. Under the 'Select the Interaction types to display for this constituent'. section, click Tell-a-Friend Sent
  7. Click Filter
  8. Under the Subject column, click on eCard
  9. The date and time of the sent message will be included in the Interaction Details