Can we order the honey chicken with the sauce on the side?

Yes

Sauce in the side is always an option. if it weren't, they'll be worth taking time to review them for being uncooperative, but we've always been treated well there

Pretty sure that it would not be a problem at all.

I'll say yes. We ordered the General Tso's chicken with the sauce on the side. It was no problem. The staff was very accommodating.