Yes, that's possible. You have to send the emails with an email program or a mailing tool. You can download the list of participants in the tool (an Excel export of the invitation links for the respective survey).
If SSO is activated for your Pulse account, you can simply send the Pulse link (usually [company].start-pulse.com) to the participants. If SSO is not activated, all participants who have not yet logged in need a personal invitation link, which you can find in the Excel file mentioned above.