No. Gravity attracts you and causes you to accelerate.
Into an orbit? Those funny circles (impossible) drawn by the artists of this science fiction?

If you simply accelerate faster away from the Earth than the Earth would accelerate you back towards it.
"The Earth would accelerate me back?" What kind of physical language is that?

Is this a hard concept for you to understand? Most people with a basic knowledge of physics would know this, but you clearly don't.
If these concepts were easy we wouldn't talk about them. You believe some crazy physically impossible story. I wouldn't want to dare imagine the enormous gravitational forces of Earth, Moon and Sun and the ultra-complex interplay between them.
And as that level of complexity is not taken into account in the NASA stories, they fail to help me further too.
No, you've simply reached a point where you can escape Earths sphere of influence.
My little sister Selene, a small celestial body compared to me but still some 10^19+ times heavier than your average space toy, is held in the inescapable gravitational dance.
Every day my aura is penetrated by 1000s of meteors, attracted by my gravity.
How again you thought you could escape those unimaginably large natural forces, you mere human? By "spending some dV and saving some at other moments"?No wonder you have Star Trek as avatar. Stick to those fantasies and leave physics alone, it's really better.