Fate is the idea that events unfold according to a predetermined plan or purpose, rather than through open-ended chance and cause. It has a long, influential history across cultures and belief systems, and this site treats it as historically and culturally significant — a way people make meaning of their lives — without treating it as an established mechanism that science has confirmed or could straightforwardly test.
A coincidence “feeling like fate” is a real, well-documented psychological experience (see why coincidences feel profound), and that feeling can be personally meaningful without depending on fate being literally true — see personal meaning without causal proof.