Sure.....because I love my own company.
When travelling for work, I have spent much time in my own company; having dinner alone in some hotel or other restaurant, shopping and sight seeing.
Usually there are ccolleagues that you would sometimes spend time with or do some activities with, but other times you're on your own. So may as well enjoy the trip.
So, while I have not really travelled to a foreign country and spent the whole vacation alone, I would not mind doing so, for there is always so much to see and do, and often you can strike up a conversation with some other traveller.
My niece travels alone all the time. She took a trip to sweden for her birthday...alone and had a great time.
I would like to visit New Orleans, and if I had done it alone, I would have visited there a long time ago. To this day, I have yet to visit there, but I will do it soon and ALONE.