How can the answer be both yes and no, let me explain: First off you need to agree with the breakup, call them up and thank them for the time you guys had together.
After that, break off all contact with them.
No calling them late at night and no more testing, definitely no begging either! Once you start the no contact game you will have done several things.
Your ex is going to notice a more mature and emotionally stable person, and they will begin to miss you.
You see they are going to miss all the calls and test messages and they are also going to miss having a familiar ear there to listen to them and their feelings.
Next you are going to have to improve yourself.
Figure out what in your life isn't as good as you want it, and work to improve it! Think of mistakes you made in the relationship too, so you won't make them again.
If you look good you feel good, and this will raise your confidence.
When is the last time you went out and went shopping for things to make you look good, like a haircut, clothes, stuff like that.
Do it! Having done this, it will all go to waste if you don't let your ex see the new improved you.
When they do catch a glimpse however, they will start to feel jealous and curious about the changes since they happened post breakup.
This is going to make them think about you and want to meet you.