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.
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Thanks, ***** *****