Isaac and Jesus - Related?

Are these passages related to one another?

“And Isaac said to his father Abraham, “My father!” And he said, “Here I am, my son.” He said, “Behold, the fire and the wood, but where is the lamb for a burnt offering?” Abraham said, “God will provide for himself the lamb for a burnt offering, my son.” So they went both of them together.”(Genesis 22:7–8 ESV)
“he (Christ) humbled himself by becoming obedient to the point of death, even death on a cross”(Philippians 2:8 ESV)

Textual and traditional evidence points to Isaac being the age of either 26 or 37 at the time of his "binding." Translation: he was old enough to know that you don't offer a burnt sacrifice without a lamb. 

The suffering, beloved son humbles himself...