I would think it would be straightforward. Define arb waveform for each of the signals, set the SDG2042X to lock the phase of the two channels and it should just output what you show over and over again. I have not done pulse waveforms like you show but I have done two moified sine arb waveforms at the same time phase locked and it works great.
If you want to just send one cycle out that would get trickier. Some people have complained they can't trigger both channels simultaneously. I have not tried to do two Ch one cycle triggered at once.