The answer is "Yes"! Astrology is certainly allowed in Hinduism, in fact, it is popularly known as the "Heart of Hinduism". Known in the Hindu context as "Jyotish" or Vedic astrology, the Hindu astrology originated in ancient India and deals with the science and patterns of light which ultimately decide our destiny. The basis of astrology is the study of planetary movements that affect our day to day lives. Based on the apt positions of the planetary bodies, stars and the zodiac signs, astrologer prepare charts that are then read to predict our future or explain the affect on our mind, body and soul and also on our karma. Do leave a note if you are interested in diving deep into astrology.
For those who believe in "Astrology", it is indeed a very powerful tool. I completely believe in it and trust me, it has done wonders for me in some cases. Do share your views/experience if you had any.