Nothing is impossible. I'm pretty sure that there are people in the world who were truly happy with their lives. People who love their family, jobs... I don't see how this wouldn't be possible or couldn't occur. Is true happiness possible as you may define it? You're talking about something that is both a reality and fictional. If you expect a perfect world, I'd say the odds are against you. Even a perfect life the odds are against you. There are millionaires, celebrities with severe depression.
The question is how do you define "true" "happiness" ? What is true? What is happiness, what is "impossible". You're acknowledging the possibility of something you never defined. Your post is very cynical to begin with. Happiness occurs within a person, love perseveres... happiness does too if the person believes in it, defines it as their happiness. You can also aim higher for higher goals, ambitions or never settle down with a wife or anything...
We suffer ultimately because of body and there for mind is connected to the physical, the physical world here. It's not so much how you find true happiness if such a thing even exists... as it is a question of how you coupe, manage with the daily struggles of being human.
We like the flower of nature has no control over what is predetermined for us, even random, it's all about what's possible to occur that shall. There are harsh seasons for nature as much as we go through harsh struggles. Is pure happiness obtainable, a perfect marriage, perfect everything... maybe for very very few but there's a higher probability of the possibility for something unexpected to occur on occasion.
Happiness is a construct of your brain chemistry and mind, people can be deadly depressed because of their brain chemistry... and their mind.
You have a brain, a brain is a biological computational device running on electrochemical process.
Your consciousness is an emergent property of said process.Are people who have chemical depression going to easily find happiness?
As for possibilities they are all equally determined within one another, nothing created nor destroyed. A matrix that is both growing and static. Causality, probability. For every action, there's an infinite number of reactions and in each one of them!
The primordial atom burst, sending out its radiation, setting everything in motion. One particle collides with another, gases expand, planets contract, and before you know it we've got rockets to the moon and computer and chicken soup. In fact, you can't help but have rockets to the moon and computers and chicken soup, because it was all determined twenty billion years ago!
It's all random, chaotic, yet with order by equal predetermination of all possibilities, probabilities of the infinite, there for eternal and static yet with change and variations within of itself indefinitely , predetermined all equally as one source, one energy.
https://www.youtube.com/watch?v=vJZAB0yu0wU