I mean, time-travel stories typically involve traveling by way of some mechanism be it a spell, wormhole, tear in spacetime and etc. The end goal is usually traveling from one point to another with a purpose. Characters can travel back and forth. Everyone remembers each encounter.

Time-loops, like in Groundhog’s Day or Edge of Tomorrow, usually cause people to get “stuck.” Some plot device is then introduced to eventually “unstick” them. Only the people stuck in the loop are usually aware that anything is happening.