Can you use aloe vera gel on a burn that happened from nair hair removal ?

Yes: Nothing special about aloe. Anything for dry skin will lubricate the skin, reducing pain ; promoting healing. Don't stop gentle washing.

Yes: Options – use washcloth soaked in cold water or even ice water as a compress x 15 minutes. No not apply ice directly to skin. Petroleum based lubricants/ jellies/ lotions (aquaphor ointment, vaseline) or aloe can help to maintain moisture. Hydrocortisone cream 1 % can be applied for significant inflammation. For blistering – consult with your doctor.