Image Field Browser Option
You could use the FileField Sources module.  To browse the server it looks like you need to use this with IMCE.  From the FileField Sources project page:


  The FileField Sources module expands on this ability by allowing you
  to select new or existing files through additional means, including:
  
  
  Re-use files by an auto-complete textfield
  Attach server-side files uploaded via FTP
  Transfer files from a remote server (cURL required)
  Select existing files through the IMCE file browser