I would say no.

The reasons problems happen with people who feel a lot of empathy are likely due to not setting boundaries, not being assertive enough. I don't think empathy in and of itself is a problem at all - it's how we use it and react to it that can be healthy or not. I think empathy can engender compassion and growth, or, it can lead to manipulation of the empathic person via unnecessary guilt or fear. This has been my experience.