Depends. SERE? Not likely. No need.
Had a fellow 1835 weasel his way into an NSW unit as a very junior Intel O and then into a MOB with SEAL TEAM 10, both ahead of other more qualified people who were waiting in line. He got to go to jump school and got a BSM out of the MOB. He left the Reserve afterwards as an O3 and now has these accolades plastered on his social media and on is "company bio."
Have another 1835 colleague who attended Military Freefall School as a Reservist and who jumps regularly and has spend his entire Reserve career in SOC related Reserve units. Mind you, he was prior Army SF and once you are part of that club it opens doors otherwise closed to others.
Things happen but please don't be that guy (i.e., the SEAL groupie). If you want to play and get close to NSW, be a PT stud, be humble, know your sh*t, help others, and get yourself assigned to either NR NSW INTEL 17 or 18 (or whatever they are called these days). These units support SEAL TEAMs 17 and 18 and you will deploy with your respective unit on a scheduled basis outside of the regular NAVIFOR MOB list (Reservists assigned to these intel units are caged off and controlled by NSW).