Indeed, it has similarities but the way to gain is totally different. Gambling usually doesnt require skills, if you know the game then you can start to play and in order to win you need to become lucky. However there are some games that if you have a knowledge its an edge to predict who might win (e.g. sports betting).
you answered it well, it does not require skills if you are gambling for fun, but there are games like sports betting where you can get use of your skills to win. Sports betting is a skilled based type of game, anyone can start their journey as a sports bettor as it's like trading where you need to analyze.
Gambling does not require skills but day trading require a lot of skills, so how is gambling like day trading ? For the risk point of view, you can say that both of them are risky, but still if you are an expert, you can earn good profit with your skills. But in gambling you are totally blind whether you can win or lose.