Can we "hurt" God?

I believe the answer is "yes".  I mean didn't it hurt Jesus when He was nailed to the cross? Although He was God, He had taken on human form.  It hurt Him just as bad as it would hurt any of us.  Didn't it hurt Jesus while He suffered for our sin.  He was without sin.  He was the only perfect man that walked the face of the earth.  But He was a man and it hurt Him.  If God was not hurting for His people, why would He send His only son, Jesus Christ to die for us.  God took action and these actions had to come from a place of grief and compassion for His people.  So yes, we have hurt Him and continue to hurt Him when we reject Him.  He does hurt because He loves us.  See, God is the inventor of love.  He is the source of true love, the only source.  God has made us the object of his affection.  It was a love affair that started in the garden of Eden long ago,  God didn't just want to "create" something, He yearned for a relationship with His creation.  Even though you can experience the results of some of the attributes of God through nature, He did not make "nature" or "animals" in His image.  He said "Let us make man in our image".  "In the image of God He created him.  Male and Female He created them."  According to His likeness.