Wanting to add a new wet bar sink in basement

[Proovit]

Can I tie a new sink drain to this shower drain? The tub drain is about 12 inches behind and 6 inches to the left where I want the sink. I can tie into the existing vent line that is on the wall about 6 feet away along the back wall.

 

[Twowaxhack]

Not and be legal or proper.