Absolutely not. They are two distinct generations with zero hardware compatibility.
| Feature | Nintendo 64 (1996) | GameCube (2001) |
|---|---|---|
| Media | Cartridge (64–512 Mbit) | 8cm MiniDVD (1.46 GB) |
| CPU | MIPS III (NEC VR4300 @ 93.75 MHz) | PowerPC "Gekko" @ 486 MHz |
| GPU | SGI "Reality Coprocessor" @ 62.5 MHz | ATI "Flipper" @ 162 MHz |
| RAM | 4 MB RDRAM (8 MB w/ Expansion Pak) | 24 MB 1T-SRAM + 16 MB DRAM |
| Backward Compat | None | None (Wii plays GC) |
N64 plays N64 games. GameCube plays GameCube games. Wii plays both.