It's far from impossible that a Terran nation, especially after 175 years can have spaceships, but I can't imagine there being that many due to having to make use of quite a bit of industry and develop the infrastructural demands. 

Overall the idea is the asymmetry Terran societies have in contrast to the off-world societies that have developed.  Mainly since even with severe population depletion on Earth in the 22nd century and population increases in factions around the solar system, Earth still comprises most of mankind.

In short yes, but I advise to avoid trying to make fleets of dozens of ships from earth.