Yes, you can.

Summoned Shenron and had a wish granted.

Completed the "The Changing Future" chapter of Goku's Saga.

Won 10 matches.

Defeat Her.

Reach Room 312.

Kill at least one enemy with Wooden Plank, Steel Pipe, Handgun, Shotgun and Rifle in a single playthrough.

Kill Eddie.

Defeat the Abstract Daddy.

Finish off 50 enemies with a stomp attack.

Defeat the Flesh Lip.

Meet Maria.

Clear Chapter 4.