Can my New Cover Up Tattoo Be Removed? (photo)

I had a small black tattoo that was about 5 years old. Long story short I went to a guy who I trust who has done a few other of my tattoos and he pretty much told me the only color that would cover it was blue. Because I trusted him I let him do it, I had seen his cover up work before and they were good. Once he started with the blue I immediately hated it! I am so upset about this!! Can the wave part of this tattoo be completely removed? ( just the part on my ankle, where the cover up is?)