You can bring your step son over on the basis of adoption but unfortunately this is a lengthy process.
The immigration rules require as follows:
The process can take around one year and you will need to get in touch with your council (local authority) to adopt a child abroad - you should speak with them and explain the urgency of the adoption and that it is in the child's best interests to do so as soon as possible. They will be best placed to advise on whether the process can be done sooner as they will be responsible for the adoption process.
Further information can be found here:
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