I have a website with a email subscription form on it. I was wondering if it was possible to have the subscribe email button register the email that was submitted on my AWS SES account? Is it possible to just use an HTTP post to achieve this?
SES is an SMTP server for sending emails. It is not for the management of subscriptions or contact lists. Email addresses need to be stored and managed somewhere else, such as DynamoDB. If you are looking for an email delivery API that also manages contacts, look at something like SendGrid or Mailchimp.
The "email addresses" tab of SES is for Verified Sender identities, which are addresses that you will be sending email from. It is not for storing recipients.