no!! There have been many MANY reports of bitcoin fog selectively scamming and it would be wise to use another option. Bitblender, sigant, and helix should be much safer options.
This thread highlights exactly why using Bitcoin for this purpose is tricky for outsiders. Buying a gift card with cash is a process I can understand, but with Bitcoin the amount of knowledge needed to get started safely and anonymously is quite large, and there seems to be a lot of conflicting information going about.
They're called "mixers".