could c-u c-x i insert a filename?

[joakim]

I find it convenient to have a keystroke insert a filename, with a
definition like this:

(defun fsdired-insert-file-name ()
  "Ask for a filename and insert at point."
  (interactive)
  (insert (read-file-name "file-name:"))
)

Could something like this be bound to c-u c-x i ?

-- 
Joakim Verona