In a word, yes!
“Every moving thing that lives shall be food for you; and as I gave you the green plants, I give you everything.” Genesis 9:3
I like to quote this passage with vegans . I actually feel there’s a Christian component to being an omnivore. At least for me. I do not make animals my idols. I do not put man on the same level as animals either.
I believe God gave us this wonderful gift of the Earth, and all the animals and plants upon it. I think we have an obligation to treat those plants and animals with respect, and work the Earth with care, but ultimately these things are for us to sustain our lives, which is also a sacred gift. We are the masters of these other living beings, God placed us above them, but we should be good masters, and not kill merely for sport, or mismanage our livestock or fields through gluttony or sloth. That’s wasteful, and disrespects the gift. I have no qualms about eating any animal or plant, as long as it does not harm me (because of toxins, etc.).
Lent does come with some dietary restrictions, but it’s not really about the food, it’s about the personal sacrifice to go without, in remembrance of Christ fasting in the desert. Lent also corresponds (in the northern hemisphere, anyway) to the time of year when a lot of our livestock is bringing into the world its next generation, so I see the wisdom in letting animals do that in peace. Again, it’s about good management of our gifts, and letting nature renew itself in the same spirit of the Resurrection of Christ.
I am in preparation to start a small farm, and there is a definite religious component to my planning, and how I want to go about animal husbandry and managing the land and its resources in a sustainable way. I am very mindful of the miraculous nature of God’s gifts to us, as it relates to these activities, and I hope for it to be a very prayerful and meaningful life that brings me closer to God.