Yes, you can check from your horoscope if you have the luck to own a property and the timing of buying one as well.
To check on the property prospects, you need to analyse the 4th house and its owner from Lagna/Ascendant and Mars as Mars is the signification for property.
4th House signifies comforts and a place to stay, which is one of the basic needs of man. The 4th lord in a strong position in your horoscope will surely bring you luck and gains of property.Similarly if Mars is also associated with 4th house, then this person will also have lots of land as well, provided the Mars is strong.
Similarly if Planets like Rahu in 4th house with an aspect of any Malefic planets will deprive the person of all comforts in life.
For example if you analyse the chart of Maharaja of Mysore who was responsible for building Mysore Palace, will tell you the importance of 4th house and property. This Maharaja has Kataka/Cancer ascendant and the ascendant Lord Moon, is placed in 4th house, and similarly the 4th lord, which is Venus is placed in Lagna/Ascendant, and this combination itself is a Raja yoga and Parivarthana yoga( exchange Yoga)., which clearly significance his taste and luck for building beautiful palaces.
Apart from the above, I have come across so many examples, which proves this hypothesis on 4th house & Mars and its significance to property buying.
In Some cases, if 4th Lord is placed in 12th house,there are chances that these people build houses over seas or away from their home land.
Now, the timing of buying the property is when you are running the Dasa/Antardasa ( ruling periods) of planets that is associated with 4th house and during the ruling periods of Mars.