Hey ya'll! Nope, no reserve parachute in BASE jumping, there wouldn't be enough altitude for it to deploy in time. BASE rigs are kept nice and simple, we have a packing process that allows us to check every part of the rig as we pack, we also pack in a manner that reduces our chances of a malfunction. We cannot rule it out 100% but it is very unlikely you would get one, and if you do, it can be down to packing error, poor body position on deployment and as well as things out of our control like vortexes and wind rotors etc.
You need to make sure you are jumping in the right conditions all the time