Why not mix hydrochloric acid with sodium hydroxide?
Reaction between hydrochloric acid and sodium hydroxide is highly exotermic, so it can cause you severe burns instead of preventing the damage of the acid on your skin. It is better to put the hand in abundant water (very abundant rinsing and as long as acid is not very concentrated) and then immediately use the sodium bicarbonate as a less aggresive neutralizing agent. Good luck!