Yes, you may lose some ink due to flaking and peeling shortly after you have gotten a new tattoo. Your skin can hold only so much ink, and any excess will be shed. You may find that some ink comes off on your clothing for a few days. Once a scab has formed over the tattoo, this will stop. The scab itself may become the color of the ink that you lose.
DON'T peel off any scabs that may form. This may cause scarring and could also damage your tattoo. See our FAQ on "How to Take Care of Your New Tattoo" for more information.