YES

(VAR x y)
(RULES
  k(a(),a()) -> a()
  h(x) -> a()
  f(g(x),y) -> a()
)

(COMMENT
Termination is shown by EKBO with interpretations on natural numbers

  f_A(x1,x2) = 1
  g_A(x1) = x1 + 4
  a_A = 0
  h_A(x1) = 1
  k_A(x1,x2) = x1 + x2
  f#_A(x1,x2) = 0
  a#_A = 0
  h#_A(x1) = 0
  k#_A(x1,x2) = x1 + x2

weights

  w0 = 2
  w(f) = 0
  w(g) = 0
  w(a) = 2
  w(h) = 1
  w(k) = 0

and precedence:

g > f > k > h > a
)