No, the stage should be accessible from the normal floppy/IPF/ADF game, provided you're not invulnerable or using an invulnerability trainer.
There is a small bug in the game where you can't enter the speed stage if your bee is flashing & invulnerable, like after you've just lost a life. Also, all the invulnerability trainers I've seen on crack ADFs make it impossible to enter the stage. These problems also apply to the 2-2 bonus stage.
The upcoming 2.03 release of the Apidya WHDLoad slave fixes the game bug and has an invulnerability trainer that still lets you enter the affected bonus stages when it's active.