YES

TRS:

  +(*(x,y),*(a(),y)) -> *(+(x,a()),y)
  *(*(x,y),z) -> *(x,*(y,z))

max/plus interpretations on N:

  +_A(x1,x2) = max{7, -5, 4 + x2}
  +#_A(x1,x2) = max{11, -1, 9}
  *_A(x1,x2) = max{7, 3 + x1, x2}
  *#_A(x1,x2) = max{0, 3 + x1, 2}
  a_A = 1
  a#_A = 1

precedence:

  + > * > a