Cook bacon in a large skillet over medium-low heat, turning occasionally, until browned and crisp, 8 to 10 minutes. Transfer with a slotted spoon to a paper towel-lined plate to drain, reserving fat in skillet.
Cook garlic in same skillet over medium heat until golden, stirring frequently, 2 minutes. Add half the kale; cook, tossing until just wilted, 2 minutes. Add remaining kale, and season with salt and pepper; cook, tossing until all the kale has wilted, 2 minutes. Add chicken broth, and simmer until kale is tender, about 10 minutes.
Meanwhile, cook pasta in a large pot of boiling salted water until al dente, according to package instructions. Drain, reserving 1 cup cooking water. Return pasta to pot. Add kale and fontina; toss to combine. Season with salt and pepper. Add reserved cooking water as desired. Divide pasta among plates; top with more cheese and reserved bacon.