ST_CPAWithin
Name
   ST_CPAWithin — 
Returns
   
    true
   
   if the closest point of approach of two trajectories
is within the specified distance.
  
Synopsis
    
     boolean
     
      ST_CPAWithin
     
     (
    
    geometry
    
     track1
    
    , geometry
    
     track2
    
    , float8
    
     maxdist
    
    
     )
    
    ;
   
Description
Checks whether two moving objects have ever been within the specified maximum distance.
Inputs must be valid trajectories as checked by ST_IsValidTrajectory . False is returned if the trajectories do not overlap in their M ranges.
Availability: 2.2.0
   
    
   
   This function supports 3d and will not drop the z-index.
  
Examples
WITH inp AS ( SELECT
  ST_AddMeasure('LINESTRING Z (0 0 0, 10 0 5)'::geometry,
    extract(epoch from '2015-05-26 10:00'::timestamptz),
    extract(epoch from '2015-05-26 11:00'::timestamptz)
  ) a,
  ST_AddMeasure('LINESTRING Z (0 2 10, 12 1 2)'::geometry,
    extract(epoch from '2015-05-26 10:00'::timestamptz),
    extract(epoch from '2015-05-26 11:00'::timestamptz)
  ) b
)
SELECT ST_CPAWithin(a,b,2), ST_DistanceCPA(a,b) distance FROM inp;
 st_cpawithin |     distance
--------------+------------------
 t            | 1.96521473776207