How to correct my rule to update user info on login using HybridAuth?
Some more details about the errors you encountered:


Data selector user:hybridauth:profileURL for parameter data is invalid.

Using the Rules Event like you're using, there doesn't seem to be something like user:hybridauth:profileURL, which I believe explains this error.
The selected data property doesn't support writing.

To understand the reason for this error, have a look at:


The question about "How to fix entity property X doesn&#39;t support writing, when setting content type field values?".
The Rules issue titled "The selected data property doesn't support writing." when Action: Set a data value is applied to a taxonomy field:tid.



With that, I'm fairly sure that the answer to the "Is it even possible"-part of your question is:


  I'm afraid it is NOT ... Though I'd love to see anybody tell me I'm wrong.