As a rule, no, you won’t have your own room whilst on the Everest Base Camp trek.
There are two main reasons for this.
Firstly, it is because generally, symptoms of altitude related illnesses start to show during the night. For this reason, we recommend sharing rooms whilst on the trek. Clearly, if you are travelling with a friend or partner you will be sharing the same room. For those joining a group, we always arrange sharing on a same sex basis and try, where possible, to match people of a similar age.
Secondly, most teahouses only have shared, multiple occupancy rooms and so unfortunately we cannot offer single occupancy rooms. Even if you were to pay a supplement we could not guarantee availability.