terraform で AWS IAM Group & User で PATH がセットされているとユーザ自身でパスワード変更できないのか

aws_iam.tf

resource "aws_iam_group" "test" {
  name = "test_path"
  path = "/test/"
}

resource "aws_iam_group_policy_attachment" "test" {
  group      = aws_iam_group.test.name
  policy_arn = "arn:aws:iam::aws:policy/AmazonS3ReadOnlyAccess"
}

resource "aws_iam_group_policy_attachment" "test2" {
  group      = aws_iam_group.test.name
  policy_arn = "arn:aws:iam::aws:policy/IAMSelfManageServiceSpecificCredentials"
}

resource "aws_iam_group_policy_attachment" "test3" {
  group      = aws_iam_group.test.name
  policy_arn = "arn:aws:iam::aws:policy/IAMUserChangePassword"
}


resource "aws_iam_user" "test" {
  name = "test_path"
  path = "/test/"
}

resource "aws_iam_user_group_membership" "test" {
  user = aws_iam_user.test.name

  groups = [
    aws_iam_group.test.name
  ]
}


resource "aws_iam_user" "user" {
  name = "user"
  path = "/path/"
}

resource "aws_iam_user_group_membership" "user" {
  user = aws_iam_user.user.name

  groups = [
    aws_iam_group.test.name
  ]
}