Line a large baking sheet with parchment paper. Set aside. Place another piece of parchment paper onto a pastry board or cutting board. Set aside.
In a medium bowl, combine peanut butter and maple syrup. Add the almond flour and stir to combine. Squeeze mixture with your hands to get a smooth dough.
Transfer peanut butter mixture onto parchment-lined pastry board. Place another piece of parchment paper on top and roll out to a ½ inch thickness. Use a 3-inch egg shaped cookie cutter to cut egg shapes.
Place egg cutouts onto prepared baking sheet. Once all the peanut butter mixture has been used, place baking sheet in the freezer for 30 minutes.
When peanut butter eggs are ready, place the chocolate chips and coconut oil in a microwave safe bowl. Melt chocolate in the microwave at 30-second intervals, stirring after each, until chocolate chips are almost completely melted. Stir until completely melted. Add vanilla extract and stir to combine.
Using a fork, dip peanut butter eggs in melted chocolate to coat. Tap fork to get rid of excess chocolate and transfer back to baking sheet. Repeat until all eggs are coated.
Place baking sheet in the refrigerator for 30 minutes or until chocolate is set.