Yes, I had to do this for an essay last semester.

Go to View >>> Header and Footer >>> Right align (if needed) >>> Type in your name

Then, to insert the page number, go to Insert >>> Page number >>> and Uncheck "show number on first page"


Note: I had to play around with this a bit to get it to do exactly what I wanted - you might have to insert the header on the 2nd page and then it should not insert anything on the first page, but still insert the header on all the other pages.