No, you are not allowed to burn waste from a trade or business activity, or waste from someone else's property, unless you have an appropriate environmental permit. Everyone who produces waste has a legal responsibility, known as a 'duty of care', to make sure it is disposed of properly. Any business transporting waste must also have a waste carriers licence.
Read more about waste laws on the government's Legislation website.
There are many other ways you can dispose of business waste.
Please note: If you are a tree surgeon, landscape gardener or joinery business, you can only burn certain types of suitable waste at the place it is produced, under an exemption from the Environment Agency. You can find out about this exemption on the GOV.UK website.