No jetpack cheat exists in GTA IV. The jetpack (Jetpack / Thruster) was a GTA: San Andreas feature. GTA IV removed it for realism.
Enter via in-game phone → Dial:
Warning: Using cheats disables achievements/trophies for the session. Save beforehand.
For jetpacks, play GTA: San Andreas (cheat: LEFT, RIGHT, L1, L2, R1, R2, UP, DOWN, LEFT, RIGHT on PS2/PS3; Y, B, LT, LB, RT, RB, UP, DOWN, Y, B on Xbox).