Your question doesn't make sense.
some Pokemon like each other in the Daycare and then they cant breed
This is just wrong. Pokemon that like each other will breed. In fact, if they like each other they breed faster.
If the man says "They prefer to play with other Pokemon more than each other" then they won't breed. If he says anything else, they will breed.
So you don't need to do anything other than have two compatible Pokemon.