It was not shown any kind of interaction between them throughout the series.
See above section.
Among the Fans Edit
SuiHina is not a popular pairing but it is somewhat known and has fans. It is shipped due how the two characters look together. According to some rumors, in a Databook, it is stated that Suigetsu likes shy and gentle girls. Hinata who is known as a shy and gentle girl causes fans to think that Suigetsu could fall for her. They're rival pairings to SuiKa, NaruHina, KibaHina, NejiHina, and any ship that consists of Hinata and another character.