Can psychopaths ever feel love or any sort of attachment to someone?

Someone I know is a surefire psycho, she has all the traits as well as a diagnosis by a Doctor.

>impulsive
>lies incredibly easily
>immense sexual appetite and promiscuity
>revels in manipulating people, i.e. playing guys against each other
>lots of acquaintances but no close friends (she fucks all their boyfriends)
>pops and snorts drugs like it was going out of fashion
>doesn't care about collateral damage from her actions
>didn't give two shits when her pets died
>can change mood really fast and get reaallllyyyy nasty. Noting all your insecurities and spitting them in your face.

Yet sometimes she can be the most affectionate, loving, charming and nicest person you've ever met. The difference is like night and day.