No. You certainly aren't still growing at 25, and your growth plates certainly have sealed for good, unless you are suffering from some form of Gigantism or whatrever...generally, growth stops at the end of your teenage years, at the latest (1)...there is almost no chance to keep growing ( or even developing any aspect of your HPTA, if thats a concern) this late in life. Nineteen is basically the end of the road...conservatively, 20 years old, at the latest. This is whats actually happening:
Lengthening of a bone occurs at the epiphyseal growth plates (called the "growth plates in common parlance) , the remnant of the cartilage model. It's capable of proliferating. In 99.9% of humans, the process of bone elongation ends at around the mid to late teen years. At this point, the growth plates are obliterated and disappear, after which no more elongation (typified by an increase in limb length, height, etc..) can take place. Elongation of the bone occurs here and at a second epiphysis at the end. The proliferation of the cartilage happens very quickly, actually fast enough to keep ahead of the bone generation that's "chasing" it , called ossification, which is just the replacement of cartilige by bone. As long as the cartilige growth "stays ahead" of the bone, you grow taller, as bone replaces cartilige. When the bone finally catches the cartilige (because the cartilige slows it's growth rate, not the bone), it ossifies, and "seals" the growth plate.
Here's a growth plate pic, enhanced by radioactive dye (GP= Growth Plate), so you can sort of see the bone "catching" up witht he cartelige.
Reference:
1. Human Anatomy and Physiology, 6th Edition, John W. Hole jr., Wm. C. Brown Publishers.