Yes,it is possible. Before,since many year we used to count 1 Dollar = 50 Rupees. Then there came a sudden fall of 39. And now it has broke its record.
There are several Factor of increase and decrease of its value.
It's most unlikely in a year frame given to the steep rise in our imports of crude and the European crisis with consquent impact of it on our economic development!
Also our industrial growth is depreciating. So India is finding difficulties in attracting foreign investors. Investors are preferring to take money from our market and hence value of Indian rupee is again decreasing since money is going out.
Foreign investors in equity and bonds would rather bring in more funds keeping in mind the depreciating rupee against dollar!That is actually happening!