Just to clarify, HSV 1 is the type that causes cold sores. HSV 2 is commonly known as Genital Herpes, though it can be spread to the face (so someone who has a cold sore probably has HSV1, but could very well have HSV2).
But, YES, both types of HSV can be spread through contact with food, drink, utensils, razors, towels, or anything that's touched the infected area/blister(s). The person with HSV must be getting, having, or just be getting over an outbreak, so you're not necessarily safe if you don't see a sore. Link Another one
FWIW, I have HSV1 and get a cold sore every year or two. My hubby and I have kissed and shared things before I had any symptoms (but was likely infectious), and he's never been infected. I'm extremely careful if I think there's even a chance I'm getting one, but there's certainly been plenty of opportunity for him to pick it up, and it hasn't been a problem. That's not a guarantee, though perhaps it's a little reassuring.