No, not exactly. First, you have to understand that before the flood, according to the Bible, the entire world was extremely violent and wicked. Although the Bible doesn't go into detail on this, I believe one of the main reasons was because of the Nephilim, which were giants who were the offspring of fallen angels and human women. The book of Enoch goes into this in detail, and according to the book of Enoch and some other ancient texts, flesh eating started with these violent giants who had an insatiable appetite. So, according to these ancient texts, flesh eating has a demonic origin. It was absolutely NOT God's idea.
As for after the flood, there are different views on this, but one view that I lean towards is that God "gave mankind over" to his selfish desires, because of our hard hearts. If you're not a Christian you might not understand this, but sometimes God "gives people over" to what they want, even if it's bad.
For example: “But my people would not listen to me; Israel would not submit to me. So I gave them over to their stubborn hearts to follow their own devices” - Psalm 81:11–12
But my point to Woodnutz that I have stated over and over and over on this thread is that just because God allows certain bad things to temporarily happen in this fallen world does not mean it's what He WANTS us to do. What is very clear throughout the Bible is that God wants us to choose MERCY. Sadly, mankind has chosen the exact opposite when it comes to animals.