Yes, you certainly can regardless your current level. I have students from very basic level as beginners and also have students who have been training for years from somewhere else. The difference is your session is tailored based on your level and interest. This allows you to make the most out of the time with the teacher. Comparing with a 10-15 student group session, private Tai Chi classes give you a clear program to focus on and, in return, you will learn faster and understand better in a relaxing and comfortable way.
In addition, there are also gift certificate available for purchase, so not only you can enjoy private classes, but also your beloved ones when you like to give them a wonderful surprise.