The short answer is no.
Solo and Team users never send whole emails to Aftersend servers, only the subject, recipients and any links to be tracked.
Enterprise users send whole emails to Aftersend servers, but we do not log or store the body or attachments of those emails after we have sent them on. Once an email is sent, we only retain the message-id, subject, recipients, and any links to be tracked.
If you are an Enterprise user and are actively working with our support team, we may ask for permission to temporarily enable a debug mode which will log email data for us to analyse. This mode is set per user but can be enabled for a team if the issue is organisation wide. This data is retained for a maximum of 3 days.