Short answer: No.
There might be some special use cases where the power level required by the speedlight is low enough to allow them to keep up for a few frames. But eventually you'll either run into issues with heat in the flash tube or with delivering power to the capacitors fast enough.
To do what you want, you need some highly specialized (and expensive) lighting.
When I shoot at lower power levels with similar flashes at about 6 fps (because I forgot to change the drive mode from 'continuous' to 'single shot') I can sometimes get a two frame burst with flash before the third frame is flashless. An external power pack might extend that to a few more frames, but Yongnuo flashes are notorious for overheating if used to often at too much power.