I have seen some users complain that LucidChart doesn't provide support for emojis. I agree it's a pain in the rear and would be a great feature. One way around this (if you don't need to do a LOT of emojis) is to download an emoji from a site on the internet like this one as a jpg and then insert it as an image into your chart. Worked for me. 
Delivered
Emoji Hack
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