When you pull the trigger, especially in double action, you cause different pieces of metal to rub against each other.
After a while, these pieces will "Fit" to each other, and there will be a visible wear spot where they come in contact with each other.
With continued use, the wear will eventually smooth the places where the pieces contact to the point that they will feel noticeably smoother as they work against each other.
Obviously, this wear will eventually cause the parts to wear away until enough metal is gone and it stops working. At this point, we call it "Worn Out". For this reason, the metals are carefully selected and specifically hardened to keep this friction induced wearing to a minimum.
So, to answer your question, Yes. Repeated use of the trigger will help make it feel better.
The bad news is that it will take years of use to achieve more than just a minor difference.
Same deal with the springs. Yes, repeated flexing of the springs will make them lose tension and the reduced tension will make the trigger lighter.
Again, it may be 20 years later before the difference is really noticeable.
A good quality hand gun is designed to last a lifetime, not wear out quickly.
If you are not happy with your trigger, the best bet is to go ahead and do something about it. Life is too short to spend it clicking away at a trigger you don't like in hopes that it gets better before you die.