Yes, but you have to be careful not to clip the quick. If you look at the nail you will see the pointy part branching off of a darker base. This darker part is the quick. If you cut this, you're beardie will start bleeding. It's a good idea to have some styptic powder or baking soda to clot the wound in case you make a mistake. If you are not confident in your ability to trim their nails carefully, you may want to stick to filing.
Dragon claws have two main parts, the black outer edge is generally the sharp bit as you've probably noticed . Under that is a thick clear layer, and when you hold the nail up to the light you can acually see the blood vessel and where the sensitive 'quick' ends. Usually I use a small pair of nail clippers and nip off the VERY tip of the black part on the end of the claw. Most importantly, don't stress out :lol: It's not as hard as it sounds!