Angels do not procreate. However, whoever said they "possess" bodies I agree with.
The 6th day creation of male and females were created.
Gen 1:26 And God said, Let us make man in our image, after our likeness:
What is God's image? The "us" are immortal. The "us" are all knowledge. The "uus" are all powerful. The "us" are present in all places at all times. They are spirits and they are flesh. They are love.
The 6th day males and females were told to procreate. Angels do not procreate. The number God created in the beginning is the same nunber they are now. They do not procreate nor do they die.
So who are the giants? Are they the 6th day male and females? Are they the Nephelims? Are these 6th day peoples mated with Adam and Eve's offsprings? Why after the flood would there still be giants?
Noah was the only righteous man on the planet. Why? Because his bloodline was pure back to Adam and Eve and Christ's bloodline had to also go back to Adam and Eve. The scriptures do not tell us if Noah's wife, their sons and daughter-in-laws were also pure blooded or if they carried DNA of the mixed breeds.
And for the obvious question of where did these 6th day male and females and their offspring go during and after the flood? They were created immortal, all powerful and all knowledge as in the likeness of God. I believe these came back to earth to build the great wonders of the earth and then they left us here as they went galaxy hopping around the universes. LOL
Seriously, who knows without guessing or coming up with some fantastic science fiction tale. That is all my story is, just one big imagination. Do you suppose this would make a top dollar movie? LOL