Using Domain Mapping Plugin on a Shared IP Address

I know there is a lot of talk already about the use of dedicated IP with regards to the Domain Mapping plugin, however I would just like to confirm for myself if its true, but also ask is there a way around it, when I only have a shared IP address.
From reading the 'Usage' Instructions, if I read correctly, can I not manually add CNAME or A records to my DNS setting in order for the domain mapping to work? (as this would not be a problem for me, as I only wish to have a few sites that are Domain Mapped).