Nope.
Story time:
Once upon a time, there was a guy who was interested in this girl. The girl seemed interested too but she was waiting for the guy to make the first move. But the guy was shy, lack confidence, if you will, and feared rejection because, as we've all figured out, guys are not good at picking up hints like these.
At any rate, guy #2 comes into picture. A friend of the girl, guy #2 seems also interested in the girl, but the girl isn't. However, growing tired of guy #1's hesitation, she starts flirting with guy #2 in a very subtle way so that guy #2 doesn't get the wrong idea but guy #1 gets the hint.
So what happened? Guy #1 thought his lack of confidence was justified; it seemed the girl didn't reciprocate his feelings. So instead, he backed off. And then things were lame.
The end.
I edited that...true life story, clearly. But bottom line is: There is no way jealousy will accomplish something good. Ever. I've never heard of such thing. Not only that but that's hitting below the belt. People might want what they can't have. But let's compare this to a child's behavior. A kid wants someone's toy simply because it's not his. Once he has it, he loves it and plays with it all the time. For a while. Then he gets tired and dumps it. It wasn't a genuine interest; it was just jealousy!
So no, there are many ways to keep someone interested. Jealousy is not one of them.