Yes, but the added weight of something as large as a 1kW resistor compromises the portability of the board. We're looking into how to do this without adding weight.
A bit of a higher price point, but some Formula 1 teams went through similar issues with their KERS system in regards to performance and weight. I think everyone converged on extremely high speed flywheels, but there was a fair amount of work into ultracapacitors. I'd imagine a 1,000F ultracap could handle the ~20-30 seconds of 100W braking power at well under a pound? I know nothing of their reliability or availability and I'm sure you guys have done your own research but just thinking out loud.
Would it be possible to arc it over an air gap? I.e. allow the energy be dissipated over the resistance of the air? I have no idea whether the power numbers work out, and maybe you'd need to step up the voltage, which adds complexity. Just a thought..
Random thought: Would it be possible to incorporate a resistor directly into the board stackup -- eg. the "board" part itself becomes a large carbon resistor?