Hello & Welcome to Just Answer,
Sorry I didn't see your question earlier.
Yes, there are extra cordless handsets available for this system, and they are model number CS6609.
You MAY be able to find these at a local store - that carries Vtech phones - but you can also get them online at places such as Amazon. I have a link to the Amazon listing for one such handset below.
Click for listing --> http://amzn.to/2j0JMoa
I hope this helps. Please let me know what you find or if you have any more questions about this phone system.
If this has helped answer your question(s), please take a moment to rate MY service level (5-star is my goal) so that I get credit for my time helping you with this question.You should see some "stars" (and SUBMIT button) to do that, but please let me know if you do NOT see them (you may have to REFRESH your screen) or can not use them.
Thanks, ***** *****--. .-