Yes, this looks like _Apis mellifera_ , which is also one of the most common bees you'll run into. If you have other pictures, you could check the identification tips at the bugguide page for the species.
As a side note, in general to really **confirm** an identification a specialist would need to see a collected specimen (that is, a live or pinned bee) as the distinctive characters (things like size, wing veins, or in this case, long hairs on the eye) may not be visible in photographs.