The simple answer is yes. However, if there is any type of accident or incident, the manager as an individual and the company would be liable to prosecution as it is a legal requirement to provide suitable and sufficient training. Forklift trucks have their own specific HSE guidance and regulations (L117).
In the event of an accident, the manager could face up to 24 months in prison and a large fine and the company would risk being be fined based on their level of turnover (not profit), let alone the reputational damage to the company.
Trained forklift operators are proven to be safer, more productive and will create less damage to stock, fixtures and fittings.