I have heard of ppl modifying 4 string necks into really close spaced 5 strings, but your proposing replacing the whole neck.
AFAIK, the 5 string neck sits in a wider pocket. The neck pocket would need to be properly routed to fit the wider heel on the neck. That and the bridge needs to be mounted center realative to the neck and you need to replace the pickups which also will need to be routed to fit the larger sizes...So why don't you sell the 4 and buy a 5? If your only goal is to score a 5 string, try and find someone to trade with or sell yours and buy a 5 string. If it's just something you want to try out and your looking for a project, then you absolutely must document and take lots of pictures. I wish you all the best.