The short answer is: Yes
However, there is more to it than just supplying 3v3 power.
Experience has shown us that the Omega2 is very sensitive to power fluctuations, requires a regulator at least, but a couple of caps are highly recommended together with the use of short, heavy gauge wire due to the current drawn when hitting wifi initialisation at boot.
Having said all that, do not underestimate the power of having a spare expansion dock available when things go wrong. It is by far the simplest way to power your O2 and get direct serial access to the console for troubleshooting.
@dklinkman this is the wifi driver saying that it's successfully connected to your network. Seems like it's getting disconnected and then reconnecting, is your device in a place with weak signal or maybe in a place with many WiFi networks (lots of noise)?
This solution did not fix the problem in my case.
The problem was that there was an extra line "379" which must have had one of those un-allowed line endings or the carriage return on line "378". This was causing the /usr/bin/oupgrade: local: line 378: not in a function error.
Deleted the extra blank line and all was fixed.
The installer has installed everything correctly. It is so specifically conceived that when entering on 192.168.3.1, Onion OS was opened because Onion console is not installed in new Omega2 during installation. To fix this, you may need to edit the file /www/index.html