No. At least two clues don't fit your solution.

[0,2,3,0,2,0,0
,5,0,4,5,0,4,0
,0,4,2,0,0,0,6
,5,2,2,2,2,4,1
]

      1  2  3  3  4  2  3
  1 [ 7, 6, 5, 4, 2, 1, 3 ] 5
  4 [ 3, 4, 2, 5, 1, 7, 6 ] 2
  2 [ 6, 5, 4, 7, 3, 2, 1 ] 4
  2 [ 5, 7, 6, 1, 4, 3, 2 ] 5
  2 [ 4, 3, 1, 2, 7, 6, 5 ] 3
  2 [ 2, 1, 7, 3, 6, 5, 4 ] 4
  5 [ 1, 2, 3, 6, 5, 4, 7 ] 1
      6  3  2  2  3  4  1