Yes, you can embed a sign-up form on your own website.
We have several options for this:
VMA Emailer Sender for WordPress
Plugin for WordPress developed by Elastic Email that replaces default wp_mail() function by using an API integration with VMA Emailer to send an outgoing email from your WordPress installation.
VMA Emailer Subscribe Form for WordPress
VMA Emailer Subscribe Form allows you to create and manage a subscribe form widget for your WordPress blog or website.
VMA Emailer Joomla Plugin
Joomla plugin developed by VMA Emailer that sends all transactional email for your Joomla website.
VMA Emailer Drupal Plugin
Drupal plugin developed By Neil O'Toole.
MailPoet
A newsletter plugin for WordPress by mailpoet.com.
AcyMailing
Newsletters, Marketing, and SMS Extensions For Joomla.
To create a form from within VMA-Emailer, go to the top menu bar and select FORMS/CREATE A WEBSITE FORM