Can you grow your own Aloe Vera?
Yes, and many people do. In many European countries it is common for some to have an Aloe Vera pot plant. The leaves can then be broken off and the gel squeezed out to treat cuts, burns and grazes.
In the Americas, Africa and Australia the climate is much better for growing Aloe Vera outside. Note the gel in these plants is at its best when the plant reaches maturity (after 5 years).