It cannot hurt. Though honest opinion: You should reconsider the pricing. 1-2$ is drastically underselling what you have to offer. Look at it this way: How many hours did you put into your game? How many hours do others save by using your source code (I assume they are allowed to use it commercially)? Let's say you earn 10$ per hour in any job you could do instead. You work 8h on the game total. That would be an opportunity cost of 80$ on your part. Now how many people do you think will buy the source code? Let's say 10. Then you'd already be at a price of 8$ just to break even. And I deliberately used low estimates for everything.
With 1 or 2$ you'll not get an income on the side. At that price, you should consider making it open source. You'll get just as much money in my opinion and experience. Remember you are allowed to make sales and other kinds of promotions. With a price of 1$ there is basically no reason to ever do something like that for you. You lose one important marketing tool by choosing a price that's already too low.
That's just how I see it. I'm selling source code for game projects myself and still figuring out how to do this as well. Good luck with your side income :)