Toddler hitting

Does anyone have any tips on how to stop their toddler hitting other children? It seems to come out of nowhere!! He’s 2.5 and has a tendency to snatch/push/hit other children. I feel like we’ve tried everything including “gentle hands”, naughty step, time out, deep breathing, not reacting at all, re-directing but nothing seems to work. He shows absolutely no remorse and doesn’t apologise to the child he’s hurt. I obviously apologise profusely for him, but it leaves me mortified and I’m so on edge taking him to a soft play etc where he is in close contact with other children. I’m just watching him like a hawk anticipating his next move. What else can I try?! Is this something they are likely to grow out of??