No. The original 1981 arcade Donkey Kong was never ported to Nintendo 64.
Ways to Play Donkey Kong Today
Official Ports/Remakes: Game Boy (Donkey Kong '94), Game Boy Color, Game Boy Advance (Donkey Kong Country series), Nintendo DS (Donkey Kong Country Returns), Wii/Wii U/Switch (Virtual Console, Donkey Kong Country Returns, Tropical Freeze).
Arcade Archives:Donkey Kong (1981) and Donkey Kong Jr. are on Switch/PS4/Xbox via Hamster's Arcade Archives series.
Emulation: MAME, RetroArch, or NES/SNES emulators on PC, Raspberry Pi, or hacked consoles.
Donkey Kong on N64
The N64 received Donkey Kong 64 (1999), a 3D platformer starring DK, but not the classic arcade game.
