No, Darius' Ultimate will still hit you. This is not because of anything special with Darius' Ultimate, but more with how Blind works. It mostly deals with auto-attacks and doesn't affect abilities.

> ###Blind
The target will miss auto-attacks, incurring the message "Miss" above their attack target.   
Blind only mitigates the physical damage portion of an attack, including physical damage sourced from a physical on-hit effect. Other damage types and effects won't miss. See: On-hit effects.    
Abilities that apply on-hit effects will also miss.    
Blind is considered a form of damage mitigation. As such, it is applied after  Thornmail's passive.    
Does not interrupt channeling.    
The duration is affected by crowd control reduction.    
The effect can be removed by all cleansing effects (except for Mikael's Crucible).    
Blind will not affect certain champion abilities.(e.g. Riven's passive Runic Blade)    
Blinded enemies will only miss if they attack while blinded. Ranged units will still hit if the projectile fires before the blind.    
If  ayne is blinded, she can only proc her  Silver Bolts if she tumbles. Normal auto attacks do not proc silver bolts while blinded (tested)   
Champions with Blind:  Teemo, Quinn