If had a home office in my old residence, then move and keep a home office in my new residence, can I deduct the office portion of my moving costs as a business expense?

Are you a W-2 employee?

No I'm a self employed business owner.

I see you looked at another Q&A re this. Didn't that answer your Q?

Not be flippant or to state the obvious, but if it had would I still be asking?  You're last comment added no value, didn't help me or anyone else, and was passive/aggressive or just asinine.   
If you don't like my question for whatever reason, simply don't answer it.  
I'm just looking for some help and not trying to cause any undue hardship to you.  
I just joined this forum today and am new to it and I thought the intent was to be a helpful community.  I did look at another question (several other actually)and clearly didn't get the clarity I was seeking as they either focused on other issues or weren't specific to my situation or still left some ambiguity in my mind.  If my asking a question too similar to another created an undue burden for you, my deepest apologies for violating the sanctity of your sacred forum, and I'll go elsewhere to another venue that more forgiving to those seeking assistance, with contributors looking to help and fewer trolls.

can I deduct the office portion of my moving costs as a business expense?

Quite frankly, I would pass the deduction by.  First, it probably isn't significant due to allocating only a portion of the cost.  Secondly, unless you can show a business reason for moving the business from location A to location B, I can't see the IRS allowing an allocation of moving costs for things that have no relationship to your home office (like living room furniture, yard equipment, a non-business auto, etc.)  I'm not sure there is any way to come up with the allocation that you want.