Is it possible to forward multiple emails in Gmail without doing each one individually?
If they're all in a single conversation, then yes: click the Forward All link in the top right when viewing the conversation. Otherwise, no, you cannot bulk-forward random emails.
In newer versions of Gmail this has moved to the More button under Forward All, and is only visible when you are viewing a conversation of stacked email (stacked by title replies):
There is an easier way. Apply a common label to all the messages that you would like to forward and then use this Google Scripts to forward them all to any other email address.
You can even try this script which I created using Google Apps Script. It helps you forward bunch of emails at one go. It allows you to load and forward first 50 recent emails from your inbox. Please see the discussion thread to know more on how to forward messages tagged to a label as well.
You can also convert the whole thing into a PDF by using the print button at the top of all email conversations.