Not really. If you're particularly panicky and feel like you won't know where to draw the line (I feel like if you're asking someone for lunch because you don't really know them, the line is really obvious), then just avoid complimenting looks or clothing and touching. Really no way to go wrong if you avoid those.

Also, if the person does not respond positively (and I don't mean they respond negatively, but if they say no for whatever reason), don't ask again. They now know you want to and will let you know when they're free, and once they do, even if you're the one whose busy, you'll know you're not bothering them.

At least in Israel, lunch is regarded as inherently acceptable in a professional setting, since it's in the middle of the workday, even if you're eating out. Generally I'll only ask people to meet on their personal time if I feel like we know each other well enough and they like me back, otherwise it's an inconvenience -- asking for somebody's personal time is a big ask. With the opposite sex, I find it's really hard for a simple invite for dinner or beer to be misconstrued as an advance. It also helps that the vast majority of female engineers I know are in a relationship, so that makes my intent blatantly obvious.

OP is talking about false allegation, you're explaining how to avoid real allegation.

You can have false allegations without having to go one-on-one with people just as well. That's the thing with the false claims.

I understand the point that you are trying to make. But aren't false allegations equally possible otherwise?

Not if you don't spend time alone with said person otherwise.

Only in the US.