People use the term "financially secure" to mean different things. You can say you're secure because you earn enough to support your current lifestyle as long as you continue to work. That is as secure as most of us get.

But you can also consider the term like this thread to mean that you are totally secure financially for life - even if you were to become unable to work.

So in you're case you may be secure for now, but you're not yet secure for life. Very few 25 year olds are already financially secure for life, though.