This is something I am learning how to do. It is possible.
I used to take myself way more seriously than I do now. Maybe I still take myself too seriously. But in changing this, I had to come to terms with the fact that I am, for the most part, serious, and that is something I don't want to change. I like to deal with serious questions. I like to say and do deep things. It dawned on me that I could do this without carrying the world on my shoulders.
This does not mean that I have to tackle the serious questions in an entirely serious way. In fact, humour is usually the best, and often the only, way of approaching the deepest questions.
"God is dead." -- Nietzsche.
"Nietzsche is dead." -- God.
This does not mean that I am depressed or depressing, either. I take my joy in big, deep breaths.
As Kerouac said:
"All laughter is solemn."