Possible to develop a game using assembly language?
Yes, most definitely! 

Would you want to these days? No, probably not, unless you were doing it for educational purposes.

The first games on computers were coded in Assembly language, because when computers first came out there wasn't anything else to program in. The most recent example of a popular game that I know of which was written in Assembly is RollerCoaster Tycoon: http://en.wikipedia.org/wiki/RollerCoaster_Tycoon

The are a lot of limitations of writing a game in Assembler code.For example, in assembler you are writing individual instructions to the CPU. This takes a lot of thought and a lot of time. Chances are you won't be doing it as efficiently as you could be too! A modern programming language, like C++ for example, would be far easier to code a game in these days. It allows you to think about how you want to program things in at more complex level without having to think about the very basics of how it will actually run on your computer. 

Plus, different computers will have their own versions of Assembler code, so writing your game on one computer may mean it won't run on a whole other line of computers! But when you write a game in something like C++, there's a special program you run that will turn it into assembler code, specifically for what ever machine type you run it on!

To sum this up, I'd say there really is no point writing a game in assembler, unless you are doing it to learn assembler. You will get much faster and better results when making a game if you do it in a higher level language. If you want to get up and running quickly I'd say you should go for something like Java, specifically using a special IDE &amp; library called 'Processing', take a look at it and see how easy it is to get up and going, pretty good if this is your first time programming something and want to get a hang of it:

http://www.processing.org/