No one lives without purpose. No one does anything without purpose. There is purpose in every single action you take, from the moment you wake to the time you fall asleep -- and even the time between is purposeful. Living "without purpose" is impossible.
That's just a semantic note, I suppose, because I understand the gist of the question. "Purpose" in this context usually refers to a large, ambitious project of some type -- business-related, artistic, spiritual. Save the whales. Write a great novel. Build a successful business. Etc.
I long ago abandoned that version of "purpose" -- not because I don't believe in the value of purpose (I do) -- but because I am simply not focused or ambitious enough to do it that way. When I was young, I was fired with enthusiasm to accomplish something great in this life. I'm not anymore.
I'm also not focused enough to have a grand, overarching mission. There was a famous book not long ago called The One Thing, which discussed how focusing on one thing is what leads to outstanding results. I've never been able to do that -- not for long, anyhow. I find it too constricting. After a while, I always want to go in a different direction, do something different. As a result, I'm a generalist in a world of specialists; a dabbler in a dozen areas rather than an expert in any one. I'm ok with that.
As I said, I do think purpose is important. That's pretty clear in the literature on happiness and life satisfaction, and it's also clear from my personal experience -- when I lack a sense of purpose (or meaning) in life, I am not in a good place. But I think about purpose as a puzzle with many different pieces, not a single, grand, overarching mission. For instance, I think that my purpose is learning and growth -- intellectual, emotional, spiritual, and psychological. That keeps me busy. I also think my purpose is to help others, especially animals (I'm not as dedicated to this as I'd like). I also think my purpose is just to enjoy my life. I also think my purpose is to take care of myself -- physically, emotionally, etc. I also think my purpose is to be a good person, to act with integrity as best I can, to treat others decently, and so forth.
So I have a lot of different purposes. My "purpose in life" is a cobbled together collection of things I value and consider important.