The no contact rule is a tool to help you get over it. After a couple of months, even if she doesn't miss you, you've had enough time to start living life without her, and have started to move on. This is the practical objective of going no contact. There is no "spark" to reignite, she left because there was a lack of chemistry. The best thing for you to do if after a month you're still pining to contact her, is to write a letter, read it to see how silly you would look to her if she read it, then toss it out.
Do you have a chance? There is always a chance, but based on my experience, and other posts I've seen on this forum, it isn't likely. Even if you do get back together, it won't be the same. The "no contact" rule was something perpetuated to help the broken hearted have hope while they recover, there isn't an actual strategy for success. If someone leaves you, that is an indication you aren't right for each other.
"All is fair in love and war." - Francis Edward Smedley