Preheat oven to 350 degrees, with rack in center. Spread almonds in a single layer on a baking sheet; bake until golden brown, about 8 minutes. Let cool slightly. Reserve 2 tablespoons for garnish.
In a medium bowl, stir together cottage cheese, sugar, and cinnamon. Stir in almonds. Dollop 2 tablespoons cheese mixture on the short end of each crepe half; carefully roll into a tight cylinder.
Place crepes, seam side down and 1 inch apart, on a baking sheet. Bake until warmed through and beginning to brown on edges, about 5 minutes.
Meanwhile, heat jam and 2 tablespoons water in a small saucepan over medium heat (or in the microwave) until jam is liquefied; whisk to combine. With a thin-edge metal spatula, carefully transfer 2 crepes to each of four plates. Drizzle with apricot sauce; sprinkle with reserved almonds. Serve immediately.