Can two points of different elliptic curves can be added?

I read about elliptic curves.Extended elliptic curves,binary elliptic curves.Words like isomorphism, irreducible,Weierstrass Equations come.But i could not understand or my understanding is not high enough to understand a simple thing: Can two points of different elliptic curves can be added? If is yes,my next question is this: We have elliptic curve used by bitcoin protocol.Can be made an almost indentical elliptic curve with a small change like a different modulus,order and from that a different generator and as bring a different value for P(G x k = P)?Can a Px,Py(k = 3) of bitcoin elliptic curve plus Qx,Qy(k =4) of almost indentical curve equal Px,Py or Qx,Qy (k = 7)? If not can be any other derivation that can make the addition between two elliptic curves made possible that one of the curve is bitcoin elliptic curve? If yes,can you help me to find that addition work and verify that work?Thank you.



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