I think it's difficult to tell a story that doesn't have any meaning.
I don't mean that you have to have meaning in order to tell a story, but that if you tell a story, it will end up with meaning whether you meant it to or not.
Break it down to its most simple -- let's say you have a character that faces a hardship, overcomes that hardship, and gets a happy ending. How does the character overcome the hardship? By getting stronger? By learning to be kinder? The choices you make here say something about how you think the world works. What does a happy ending look like to you? Is it friendship? Is it riches? Is it revenge? You end up with a message even if you never meant to.
And I think creators run into those meanings differently. Some folks set out to create a story to explain something that weighs heavily on their soul -- they have SOMETHING to say and they have to find a way to convey it. Some people invent stories that appeal to them and immediately realise "oh, this is me tapping into my experience with [x]" and start to form their story around that meaning. And then some people honestly don't find their meaning until they start actually putting the story together; they don't start to see the themes or the purpose of their story until they know where it's going. None of those is a more "right" way to do it than the others.
I ran a journal comic called Today Nothing Happened for four years. I had seen other journal comics that were sort of brutally honest, really raw looks at the creator's lives that I kind of admired, and envied a little, but didn't think I could make a comic like that. TNH was lighthearted, and I made a decision early on that I was going to try to never make people I knew look bad, and that I was going to avoid Drama -- if I got in a fight with someone, that would never go in the comic. Its goal was to stay sort of light and fun no matter what was going on, and in a way, that was the Purpose and Meaning of my comic, to find those light-hearted funny moments.
One of the emails I got from a reader that really meant a lot to me was actually from a soldier, overseas, someone I didn't know. He told me that my silly comic about my daily life and dumb nerdy jokes meant the world to him -- it was a small piece of something normal and happy while his surroundings were anything but. My comic wasn't full of Heavy Deep Meaning, but it meant something incredible to this person who needed it.
People need stories. My grandmother's told me often that, as a young person going through The War in Japan, the only really good thing that she had was reading sci-fi to escape and dream of something better. Some people need lighthearted stories, some people need heavy stories, some people desperately need stories that show them their own experience, some people desperately need to be challenged by the experience of others.
I think you have to tell the story that's in you, because that's the one that you can tell the most honestly. Finding the meaning that's in it can help you more clearly see what direction to go in when you're unsure, I think, so it's still useful! But I don't think you need an Impactful Real Life Allegory Of The World's Injustice in order to be deeply meaningful to someone.