Will Mixing Vit E And Pure Aloe Vera Together With Water Promote Hair Growth?

Not to my knowledge, but it will most likely enhance the health of your hair.
  To promote hair growth, massage your scalp a couple of times a day with the balls/tips of your fingers for about 5 minutes at a time to stimulate blood flow to the scalp. This will increase the speed of hair growth.
Also eat a well balanced diet.
   You can pick up a bottle of (Hairseptic) at your local beauty supply store to apply on your scalp before massaging. This will help to clear the pores out and also help with hair growth.

NO...but it would be fantastic for your complexion.............and Aloe Vera is a natural laxative, excellent for burns and it's an antiseptic.