It is a coincidence.
The reason is that the Hubble constant H is not constant, and varies over time. For example 6 billion years ago, when the universe was 7.5 billion years old, the Hubble constant was about 100 (km/s)/Mpc, what means the Hubble time was 9.78 billion years. When the universe is 24 billion years of age, H will be 60 (km/s)/Mpc, and the Hubble time will be 16.3 billion years.
Not even close to the age of the universe.
