"is this a date?"

Aizetsu says embarrassed, blushing as he tries to take your hand in his trembling one while his other hand held a drink as the two of you walked together to another place for your date.

Aizetsu and you were currently on a date because you invited him, since you liked him. First you had gone singing karaoke somewhere, then you had gone bowling and now you two were walking to the next place for your date.