Creating an edit profile widget

My task for this support thread is to add a basic profile widget. The widget should include
• A profile picture that is in the size of a thumbnail. This should be on the left.
• A message that says welcome then displays whatever is specified as the display name. For example (Welcome Alex S) this should be just to the right of the profile thumbnail.
• A link that says Edit Profile. This link must redirect to I would like this to align underneath the welcome display name.
• This should be aligned at the top right side of the page. The widget should stay in the white section and not cross in to the blue border of the page, please see screenshot. I have highlighted a nice place for it to go.

Can this be done?