Nope.
If I absolutely needed that information while I was working, I’d use a simple expression to have the source text property of a text layer be the value of that property, and put that layer as an overlay in my composition.
(Yeah, a hack, but it might be worth it to you.)
Of course, I encourage you to submit a feature request to have this work as you’d like:
https://www.adobe.com/go/wish
An explanation of what you’re trying to accomplish with this would help.
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Todd Kopriva, Adobe Systems Incorporated
After Effects quality engineering
After Effects team blog
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