How long have you owned your property?
Have you used the basement area?
You may have a claim under adverse possession, however you would need to show that you have used and maintained for a period of 10 to 12 years.
Therefore, in short, no you cannot register it under your title at this stage.
I hope this answers your question. If so, kindly rate the answer and provide feedback.
If you have any further questions, please do not hesitate to ask.