It is very hard to find cream cheese or mascarpone where I live in India, so I just wanted to know whether I can make a cheesecake with yogurt cheese or not?
I hope I am not making a wrong assumption here. But German quark is a soft cheese with somewhat creamy consistency which is made from a yogurt variety (or at least a cultured milk variety) .
If "yoghurt cheese" is similar to quark in the way I think it is, you are probably better off not making a substitution, but use a recipe which was made for quark (or topfen, which is the Austrian word for the same cheese). They will probably give you a better result than a substitution. The search term to use would be Käsekuchen, this is the German version of cheesecake, and it is traditionally made with quark. If you cannot decipher a German recipe, I noticed that Google returns some results for "Käsekuchen recipe", you can specify results in English in the advanced search options if needed.
You are likely to get a somewhat different outcome, as the yogurt cheese probably will likely contain more moisture, and have a less smooth texture than the traditional cheese used in cheesecake.
This is not to say that your outcome won't be delicious, but it won't be the same.
There are cheesecake recipes that are based on ricotta that might be a closer match to yogurt cheese. You might wish to google some of these.