yea it can. there IS no such thing as galarian koffing. all you have to do is go to galar and do whatever you do to evolve it.
in case you are wondering, here are the locations in sw/sh:
Motostoke Outskirts
OVERWORLD – All Weather (Lv. 22-26) – 15% Chance
Motostoke Riverbank
OVERWORLD – Overcast (Lv. 26-28) – 40% Chance
Dusty Bowl
OVERWORLD – Normal Weather (Lv. 42-47) – 35% Chance
OVERWORLD – Raining (Lv. 42-47) – 5% Chance
Giant’s Mirror
NON-OVERWORLD – Normal Weather (Lv. 27-29) – 30% Chance
NON-OVERWORLD – Overcast (Lv. 27-29) – 30% Chance
NON-OVERWORLD – Raining (Lv. 26-28) – 20% Chance
NON-OVERWORLD – Thunderstorm (Lv. 26-28) – 10% Chance
NON-OVERWORLD – Intense Sun (Lv. 26-28) – 20% Chance
NON-OVERWORLD – Snowing (Lv. 26-28) – 10% Chance
NON-OVERWORLD – Snowstorm (Lv. 26-28) – 10% Chance
NON-OVERWORLD – Sandstorm (Lv. 26-28) – 10% Chance
NON-OVERWORLD – Heavy Fog (Lv. 26-28) – 20% Chance
here's the source: https://www.powerpyx.com/pokemon-sword-shield-koffing-location/
... or you can get a galarian weezing in slumbering weald