With the current state of science, there is no scientific answer of course, but that is not to say there will never be. Some people claim to have demonstrated that certain individuals have memories of other individuals who lived shortly before they were born. I don't know how reliable they are, I have never investigated. In the eventuality that there might be any truth to this, then the extensive data collection we are doing today might eventually be able to create connections one day. This scenario is explored in the movie
I Origins.
The Buddhist scriptures explain how a person can get memories from their past life. There's only a little catch. You have to give up on sex and any form of hedonism first. It is achieved through mindfulness and the texts claim anyone Buddhist or not can do it. In India, there are many such people who live like monks and practice mindfulness in connection with Hinduism and they say the same thing.
I can provide a
link to a serious place where they claim to teach the way to get those memories, although that is not their goal (which is nirvana) but rather a tool on their path. In this
book, on page 184 (page 200 of the pdf file), there is a section "How to discern your past life". It is not very accessible because it is all in Buddhist technical lingo, which is the only way they know how to describe it. In the subsequent pages, they give examples of what some of their "yogis" (people who go there freely to practice according to those instructions) experienced in terms of past life memories, specifically what provided the link between that life and the present life.
I'm not saying all of this is necessarily 100% true, all I can say is that I've been there, met those people and I can say one thing, they are not liars. The beauty of the thing is that anyone can go and try for themselves if they are interested. But there is so far no evidence outside of personal experience.
Maybe, there are areas of knowledge that are difficult to attain with the scientific method, but are attainable via other methods.