Yes, you can do a self-survey with eh right instructions and information, this should be provided by the end under i.e. an architect or architectural technician. They may insist on conducting the survey themselves or offer a good guide on exactly what needs to be measured and recorded to allow them to produce the necessary drawings.
Online drawing UK has a good guide for producing the survey yourself. You will need to measure all rooms, doors, windows, heights, boundaries etc and take plenty of photographs. Sometimes your plans can be found on the planning portal if there have been previous planning applications or online estate agents like right move may have your floor plans. Some projects are quite straightforward, and you can gather the right information in a few hours to save yourself the cost.
We do however suggest that getting an experienced professional will produce a better result and they will then take the responsibility for the quality and accuracy. If you have the time and want to save money a self-survey on a basic project could be the right choice.