Can I make a 'personal injury' claim?

Yes. Bullying can lead to psychological stress, depression and anxiety, as well as physical ill health. It can also include physical assaults.

Employees who suffer an ill health in connection with their work, or from violence from fellow workers or customers, may be able to sue their employer in the civil courts for a breach of any of the employer's duties. This is called making a personal injury claim

There's more about personal injury claims here.