There are two achievements that are two sides of the same coin: Moving Fast, and Bonded. FYI, your answers during the card game do not matter for these.
During Act 3, you will choose whether to follow Violet or Louis. Whomever you choose doesn't matter (you can get both of these on either path). Once you follow one of them, you can go to the menu and copy your save if you like, although I was able to quit out directly after an achievement popped, reload, and get the other achievement. (Best to save, just to be sure.)
While talking with them, you can make choices that are obviously romantic (telling Louis he's cute, flattering Violet, carving a heart, etc,) and then eventually choosing to kiss them. That will pop Moving Fast.
As soon as it pops, quit out and reload. Then make choices that are more friend-oriented. Don't carve a heart, say you're glad your friends, etc. Bonded will pop instead.