unfortunately No. in fact, no paste text unformatted in photoshop and illustrator too! hard to believe huh? just copy the text to a notepad or some other textfield that does not keep the format and then copy paste again.
join the revolution here and ask for it: Feature Request/Bug Report Form
If you are on a Mac try holding down Shift + Alt/Option + Ctrl/Cmnd + v to paste without formatting.
If you are on a PC try holding down Shift + Ctrl/Cmnd + v
These are standard shortcuts and I'm pretty sure that they work in AE but it's not part of my workflow so I don't know for sure.
I checked again, no dice. AFIK there is no paste without formatting in Ae/Pr/Ps/Ai. if anyone knows any different, please let me know about it.
*Edit. this is now a feature in PS2018, next step - Ae and Ai please...