I have 2 different Chase Ink cards and the 2nd one received a $400 first spend bonus (first one also had a sign on bonus). The thing about the Ink branded cards is that each flavor has different benefits so in theory a business owner might have a reason to apply for more than one type of Ink.

My Ink accounts were opened years apart so don't know if this has anything to do with it. The original card was formerly known as "Chase Professional" was opened long before the Ink program existed and is the 3% on gas, restaurant, office, home. I inquired a few times with CS about converting this card to the 5% cash back on telecom/office and was shot down each time.

I really wanted the 5% card (telecom is a big expense for me!) and so I finally bit on a targeted snail mail offer for 40K UR points on the first purchase. I was approved and got the 2nd sign up bonus.

Of course, YMMV but it is possible.

PS: IME Chase will deny a second bonus on any application that is an exact duplicate (ie straight churn).