whining

I would say no.

Bitching = to talk badly about someone or something, also to complain.

Whining = to complain, in the sense of going on about something.

She was bitching about Emily who is now going out with her ex-boyfriend.

Stop whining, I'll buy you an ice-cream in a minute.

Example - my son.

"Dad by me an ice-cream, please."

"Ok I will, later".     30 seconds later

"Dad, I want an ice-cream, please".

"Yes I know, I told you I will buy you one later".      30 seconds later.

"Dad, Dad, buy me an ice-cream, please".

"I will, I will"          30 seconds later

"Dad, when are you going to buy me an ice-cream? You said you would. You promised".

"If you don't stop (your) whining (going on and on), I'll change my mind"        

Bitching – is a colloquial expression with a negative connotation. In a bulk sense, it means vocally express your dissatisfaction about something, either with reason or otherwise. When someone  is  “complaining” about something, there is usually a cause or reason which may or may not stand.

 

i.e. Mary is bitching about the long hours with her new job.

 

Whining on the other hand an subdue form of complaining which is often an annoying, naggy or pesty display of sound and behavior from someone who is looking for attention or wanting something.

 

i.e. My kid has been whining to me about buying him an Ipod for over 6 months.

     

Lastly, be aware that "bitching" is considered mildly vulgar.