ECDH Shared Secrets

Is it possible to add and expose a method that will allow generation of shared secrets using ECDH?
Method would probably look like this:

// Alice's side
ethereum
  .request({
    method: 'eth_createSharedSecret',
    params: 'bob_pubKey', // shared with Alice by Bob
  })
  .then((sharedSecret) =>
    console.log('your shared secret is', sharedSecret);
    // hash sharedSecret
    // encrypt message via AES with hashedSharedSecret
    // share encrypted message via (in)secure channel
  )
  .catch((error) => console.log(error.message));
// Bob's side, received encryptedMessage from Alice
ethereum
  .request({
    method: 'eth_createSharedSecret',
    params: 'alice_pubKey', // Shared with Bob by Alice
  })
  .then((sharedSecret) =>
    console.log('your shared secret is', sharedSecret);
    // hash sharedSecret
    // decrypt message via AES with hashedSharedSecret
    // Bob reads message
  )
  .catch((error) => console.log(error.message));

eth_createSharedSecret would run a scalar multiplication on Alice’s pubKey.X, Bob’s pubKey.Y and Alice’s privateKey; on the other side, Bob’s pubKey.X, Alice’s pubKey.Y and Bob’s privateKey. This should produce the same sharedSecret.