You are getting into an area that becomes .. What can GOD do that Man can never do then.
I also know that there are some things that GOD cannot do.
#1 The believers who accept Christ and go into the Kingdom will be able to do all they desire. With faith all things are possible. We will become like Him.
#2 The only limitations that God has are those He has self-imposed on Himself. If He were to do them then He would not be God (for example to sin or be imperfect).