If you are the owner of the property and it is classed as a domestic dwelling then there are no laws preventing you from removing the soffits yourself, however, we would always recommend instructing professionals to carry out any removal works for you to protect your health.
If you are an employee or the property is classed as non-domestic or commercial then you are bound by the laws of the HSE. You may be able to remove them yourself providing you have relevant training and experience in doing so. It's worth checking the HSE guidance on this to ensure you're not contravening any health & safety laws.