Indoor bouldering doesn't require a climbing partner, so if you cannot find someone to go with, then that is ok. Bouldering requires extra people when you do it outdoors, since you will need crash pads and spotters to watch over you while you climb. Indoor bouldering, though, does not require more people as the gyms have types of mattresses that you fall on, and the bouldering walls are usually at a max height of 15 feet (around 5 meters), while some are even shorter.

Besides the technical aspect, though, bouldering, and climbing in general, is a very friendly sport, at least from my own experience and that of many others. Climbers are usually very welcoming and helpful, so even if you go and climb alone, you can meet new people that can help you or that you can climb with. It's a great place to meet new people.

If, on the other hand, you want to climb alone and not be bothered, that is of course also an option.