Does Tinkatuff's "Pulverizing Press" attack do damage if Skiploom's or Jumpluff's "Drifting Dodge" Ability flips heads?
Yes, it does. Technically speaking you still flip the coin but regardless of the flip's outcome the damage is not prevented.
Source: Paldea Evolved FAQ; TPCi Rules Team (2023-06-08)

Relevant cards

Note: All applicable cards may not be listed below.
SV2_104
SV2_104
SV2_2
SV2_2
SV2_3
SV2_3