I think it's fine to be "good at programming" given a specific context. If your neighbour says "Hey, my daughter likes computers and thinks she might want to program them as a career, are you any good at that?" then sure, whatever, you're good at programming and can send her some links to get started. If your coworker asks if you're any good with databases and you know he's learning SQL for the first time, then sure, whatever, you're good with databases and can teach him about CTEs.

I get that humility is a virtue, but at some point you have to admit that you're capable of doing a piece of work.

Yeah, my question was are you "good", not are you the "greatest" programmer.

Humility is absolutely necessary in any skill development (and in general), but false humility - such as has been on display by various responses - is just as bad as the lack of it.