Concentration does, however, change the pH of an acid. As such, pH is not always an effective measure of acid strength, as the acid in question may have a low pH without actually dissociating completely, among other factors.
An interesting one is HF. It is swiftly lethal as, it seeps into the blood stream upon contact. Inhalation contact (e.g. of fluoride, hydrogen fluoride, or hydrofluoric acid vapour) requires fairly significant amounts (but don't think that means small amounts are safe; they're just not as deadly). Skin contact has a high fatality rate, but if the solution is dilute you might have time to wash it off before it seeps into the bloodstream. The trouble is, if it is seeping into your blood, you won't know, as it is usually painless.
Interestingly, stomach acid has a pH of 0.7