No, you can not view their profile or even search them.
Chat with our AI personalities
The person you are sending to may have them blocked.
Simply go to the message section, type the name of your facebook friend to whom you want to send message in the 'to' box. Type the message and simply send it.
Click the button that is down to your right to send a message on facebook to someone that is online!
When you send a message on Facebook, your message is private between you and the recipients. It will not appear on the recipient's wall.
You can't. Not until they unblock you.