Yes.  Use Surge, Shadow, or Tengu.

Don't start off with them.  Use anyone else.  When you do see someone with DL, once you die, switch to a mech that can go undercover (Surge, Shadow, Tengu).  BEFORE you start approaching the enemy, use their special ability to go undetected.  Move to a smart location.

You know the DL can blast off walls.. so don't hide behind a place that the blast can reach you.  Try to reach that desired location before you go back to being detectable.  Then don't move.  Learn how the detection system works.  You don't automatically appear on the enemy's radar until you're seen by someone.  Time their attack.  Wait for them to use their DL on the other mech.  Then use your ability to go undetected, and move closer to them so that you're in reach.

Some maps have a long walking distance so it requires more time.  But that's how I approach mechs with DL.  And if you really need more help, try loading JAV/DL on one side and a short-range weapon on the other.

DL's are very annoying, but this is the tactic I use to counter them and usually take them down.