Can a company be held liable if a customer is injured on their premises?

Yes, businesses generally owe a duty of care to customers visiting their premises to maintain reasonably safe conditions and warn of any known hazards — if you were injured due to a hazard the store knew or reasonably should have known about, and failed to address or adequately warn customers of (such as an unmarked wet floor), you may have grounds for a compensation claim.

You can pursue this through a consumer complaint if you were there as a customer availing of the store's services, or through a general civil claim for negligence, seeking compensation for your medical expenses, any loss of income during recovery, and the pain and suffering caused by the injury.

Try to gather evidence as soon as possible after the incident — photographs of the hazardous condition, any CCTV footage the store may have (which you can formally request), witness details, and prompt medical documentation of your injury — since this evidence becomes considerably harder to obtain the more time passes. A personal injury or consumer lawyer can help assess the strength of your claim based on the specific circumstances.