This was so alien for them both, he was sensible of that. For Harry's own part, he didn't share his personal space with anyone unless he absolutely had to. Apart from Neville's daughter, but she was only a baby so it didn't really count. And even that would diminish as she got older. Neville only placed his hands on Harry during ritual, Enola healed him with magic but never touched him ... Harry's aura was a shield, his own unpowered ward. Nobody crossed that boundary.