Cut the broccoli and tomatoes into bite-size pieces.
Heat a large skillet over medium-high heat and add in the olive oil and butter.
Once the butter is melted, add in the broccoli with a sprinkle of salt and allow the broccoli to cook for a few minutes to soften and even start to char slightly.
Add in the tomatoes with another sprinkle of salt and stir to combine.
Let the tomatoes cook with the broccoli until the juices of the tomatoes release and become like a sauce.
Add in the chickpeas and the pasta and cook everything together for a few minutes.
Add salt and pepper to taste.
Top with freshly grated parmesan and serve hot!