yes if their favor rating is high enough you can do the minigame with them that either pops up randomly during the day when working together with them and you click the hand or talk symbol or by choosing them during the night when yo choose the sleep together option
Also increasing their favor rating also increases the stats of them same with if you had sex with them once.
The card background will change from purple to gold or to diamond/rainbow colours depending who you did it with the most (like the top 3 have the diamond background,those under them a golden one and if you haven't done anything with them it's puprle)
You can see if you had sex with them at least once if you look at the heart symbol
no sex = 1 heart
sex at least once= a double heart
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