I think there is a possibility, but not the individualistic one commonly given by most religions. For me, just as our personalities and sense of self changes with time and experience, and brain damage and other changes in the body can make huge alterations in that, I can't see a reason to expect death to leave that intact. Even in dualistic or pluralistic models, the concept that we have one consciousness frozen at the moment of death doesn't work for me.
I'm philosophically monist, mainly in the materialist / physicalist / metaphysical naturalist / pantheistic naturalism bends. Just as I view 'my body' a handy way of saying what's visible of me and 'my mind' a handy way of discussing my thoughts, but no actual division - it's all me, my body is generating the thoughts I'm typing - I view no real division between the divine and non-divine even if it's handy to discuss some things as sacred or spiritual and some as profane or mundane. It's all one.
We may never have the technology to know, but in either a divine or non-divine model, as many others have said, there is the possibility that all of what remains of us just returns with the rest of the materials around us and we continue to develop that way and in the thoughts of others. In divine pantheistic models, there are possibly functions in death that we can't yet perceive where some of what remains of us are more connected to that divinity and we continue to develop across that together, in visible and not-yet-visible materials/energy.
My current funeral plans involve a natural burial with a tree marker, so I regularly say that when I die, I'm going to become a tree (though I'd prefer recompose/human composting for growing a tree if that becomes available in the UK before my death).
I find comfort in the idea that what remains of me will be useful and part of a greater whole. I do not get any from the idea of remaining stuck in whatever personality I happen to have or choices I've made when I die, many 'choices' through circumstances I had little to no say in, personality affected by biological and environmental factors out of my control and being stuck as individual me for eternity. This may be why one of my favourite fictional versions of an individualistic afterlife - in the Otherworld series by Kelley Armstrong, particularly the book Haunted - while having different afterlives dependent on behaviour, has opportunities and even encouragement for growth and reinvention.