The gravestone of this Christopher Atte Wood died Sowerby Bridge,Yorks in 1525 says he was born Sanderstead, Surrey -see findagrave website for details, so he could more than likely be the son of Sir John Atte Wood.
I descend from a Yorkshire Wood family that lived in Slaithwaite in 19th century, and like you,my Dad said that there would be no link to Att Woods in Surrey becasue of variance in surname and distance apart, but I have found though DNA testing that I am linked by DNA to Att Wood trees in Staffordshire and Warwickshire and located close to Dudley Castle in 17th century. But have no connections to any Wood family trees on Ancestry in Yorkshire by DNA until 18th century,which makes me beleive that my line of Woods came to Yorkshire from West Midlands. And of the Wood and AttWood trees that I am connected to which are located in West Midlands 6 of them claim to be descended from Sir John Atte Wood (1400-1459) of Sanderstead, Surrey and several of these married into the Sutton family of Dudley castle.
Why they would move from Staffordshire to West Yorkshire, Iam not sure.