YES

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

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

  f_A(x1,x2) = x1 + x2
  g_A(x1) = x1 + 40651
  a_A = 0
  h_A(x1) = x1 + 40651
  k_A(x1,x2) = x1 + 1
  f#_A(x1,x2) = x2
  g#_A(x1) = x1
  a#_A = 0
  h#_A(x1) = x1
  k#_A(x1,x2) = x1 + x2

and precedence:

f > h > k > g > a
)