Updated on Sep 03, 2012 @ 12:51:
And the answer was…. No.

After reviewing your appeal, we have determined that your name does not comply with the Google+ Names Policy.

You may re-appeal with additional information, if you have not already done so. If you’re already using Google+, your current name will continue to be used.

In any case, you never know unless you try ;-)

Posted on Sep 01, 2012 @ 20:38:
I wonder if I can use “Like Ra” as the user name in Google services again. Just submitted an appeal. Currently my profile shows the following:

You have a name change under review.

Thank you for submitting your name change for review. Reviews are typically completed within a few days. If your name change is in compliance with the Google+ Names Policy, your profile will be updated. If not, your current name will continue to be used.

At all times, you can continue to make full use of Google+ and all other Google products.

We’re sorry for the inconvenience.

Just in case, you need to submit “Proof of an established identity online with a significant following” (see “Google+ Page and Profile Names“), such as web-pages where you are known under this name.