Can oral herpes be transmitted through sharing drinks and/or lipsticks, even in the person doesn't have a cold sore or active lesion?

HSV-1: Cold sores spread from person to person by close personal contact, such as kissing. Cold sores are caused by a herpes simplex virus (hsv-1) closely related to the one that causes genital herpes (hsv-2). Both of these herpes simplex viruses can affect your mouth or your genitals, and can be spread via oral sex. The virus can be transmitted to others even during times when you have no blisters.

Very unlikely: Among adults, oral herpes is almost always transmitted by direct contact like kissing or oral sex. It could by shared eating utensils, cups, glasses, lipstick, etc but is rare. Transmission from someone without an outbreak can occur but also is uncommon. Use common sense, i.e. no kissing, oral sex, or shared drinks etc wth someone who seems to have active herpes. Otherwise don't worry about it.