Yes! We can very well see the cause of death from the horoscope. It is the planet stationed in the 8th house which tell about the cause of death. Apart from this the 22ndDrekanna, the 64thNavamsha and the 85thDwadashansha and their respective lords also unlock the puzzle of the death.
To find if the death shall be peaceful or not it is always the 7th house of the Navamsha. An intrinsic good planet positioned there gives a peaceful death.