It’s possible. I was eating a lot of eggs and what happened is I had almost constant rumbling stomach, loose stools and occasional diarrhea. It took me a bit to connect it with the eggs, but once I stopped my diarrhea stopped and my rumbling went away. I didn’t eat another egg, thinking I had developed a reaction to them, but a couple of days ago I ate eggs again and was fine, so it was just a case of eating too many of them. You should try rotating out your proteins, and giving your body more of a variety. For a week, avoid chicken and beef altogether and eat more fish, wild game (but no pork!), and vegetables. If you have less stomach problems (not necessarily zero, as it can take time for your body to acclimate to the change), and your diarrhea goes away, you’ll know you found the source of the problem.
Also keep in mind that when any person, no matter how healthy, makes a radical diet change, their body will react in various ways, and a common way is diarrhea. If it goes away on it’s own, that’s all it is. But if the symptoms you describe are persistent, you should look at your diet and offer your body more variety.