>>713091586 (OP)Yeah. Easily.
The Godzilla you posted is Kiryu Saga Goji, which appeared in the 2002 film Godzilla Against Mechagodzilla.
According to VSBattle wiki, Godzilla in that film is at High 6-A (Multi-Continent level).
https://vsbattles.fandom.com/wiki/Godzilla_(Kiryu_Saga)#Pre-Kiryu_Fight
The Doom Slaya you're using is Eternal's version, which is stated to be 1-C (Complex Multiverse level).
https://vsbattles.fandom.com/wiki/Doomguy#DOOM_Eternal
Let's get a run down on stats:
Attack Potency: Doomguy (Complex Multiverse) > Godzilla (Multi-Continental)
Speed: Doomguy (Immeasurable) > Godzilla (Superhuman)
Lifting Strength: Doomguy (Class G = weight of entire human population) > Godzilla (Class M = weight of world's largest ship)
Striking Strength: Doomguy (Complex Multiverse) > Godzilla (Multi-Continental)
Durability: Doomguy (Complex Multiverse) > Godzilla (Multi-Continental)
Stamina:Doomguy (Infinite) > Godzilla (Superhuman)
Range: Doomguy (Low Complex Multiverse with Crucible; Kilometers with firearms) > Godzilla (Hundreds of meters with atomic breath)
Intelligence: Doomguy (Genius) > Godzilla (Average; animistic when Berserk)
Doomguy one taps. Unless it's an official crossover in which Toho refuses to ever allow Godzilla to ever be in any unless he 100% wins ever since the 1998 movie debacle.