The TravelTime plugin for QGIS comes with a range of options for creating origin-destination matrices by journey time (sometimes called distance matrices or travel time matrices) as well as for filtering points based on travel time:
Quick Time Filter - filters a selected layer of points based on travel time to/from a single origin with minimal parameter configuration, and calculates the travel time to all reachable points
Time Filter Simple - calculates the travel times between a layer of origins and a layer of destinations with minimal parameter configuration
Time Filter Advanced - calculates the travel times between a layer of origins and a layer of destinations, allowing full configuration of all parameters
Watch below for a short walk-through of how to use these tools.