Nope
They both have to have remote desktop, and have to be Windows 7 Pro or above... Windows XP did the same thing (Have never really tried it on Vista). For example I could not use remote desktop to get into XP Home, While I was using remote desktop from XP Pro.
But what I could do instead is Remote Assistance, From XP Pro to XP Home..But I am not sure if Windows 7 Starter has Remote Assistance..:huh: (I would think they would)
Hope that Helps...