In short, probably yes. Unless you are following a modified form of no contact, which is essential if you have children together or perhaps joint financial assets, there is absolutely no need to contact your ex.
The main issue for you is how you feel right now and whether or not the conversation gave you false hope. People reconcile all the time and no contact is not suitable for each and every breakup. Nonetheless, what you need to ask yourself is: why you chose to follow no contact and what you hoped to achieve in doing so. If you still consider that it is the right option for you, then you'll need to start again from day 1. Good luck!