Encrypting a message using ECDSA in OpenSSL

How do I set the private key for encrypting messages when using ECDSA in OpenSSL programmatically? I have the following code:

static int create_signature(unsigned char* hash)
{
  EC_KEY *eckey=NULL;
  EC_GROUP *ecgroup=NULL;
  EVP_PKEY *evpkey=NULL;
  unsigned char *signature=NULL;
  point_conversion_form_t form = POINT_CONVERSION_UNCOMPRESSED;
  int signature_size, block_size;
  unsigned char * block=NULL;

  ecgroup = get_ec_group_192();
  EC_GROUP_set_asn1_flag(ecgroup, OPENSSL_EC_NAMED_CURVE);
  EC_GROUP_set_point_conversion_form(ecgroup, form);
  eckey=EC_KEY_new();
  EC_KEY_set_group(eckey,ecgroup);
  EC_KEY_generate_key(eckey);
  evpkey=EVP_PKEY_new();
  EVP_PKEY_assign_EC_KEY(evpkey,eckey);
  signature=OPENSSL_malloc(EVP_PKEY_size(evpkey));

  ECDSA_sign(0, hash, sizeof(hash), signature, &signature_size, eckey);

  printf("%s", signature);
  return 0;
}

The function get_ec_group_192() is created by running openssl ecparam -C -name secp192k1 -genkey which also generates some EC PARAMETERS and a EC PRIVATE KEY.

What I am trying to do is to encrypt the message contained in hash with my private key so that only public key can decrypt it. Is that possible with the above code, or am I doing this completely wrong?

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Encrypting a message using ECDSA in OpenSSL

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