No. You're talking about what we call the Five Hindrances. The first one is sense desire; second, aversion; third, sloth and torpor; fourth, restlessness and worry; fifth, doubt. "Is it possible that I can meditate?" That's doubt. Part of the mindfulness practice is learning how to recognize these hindrances without judging them "good" or "bad." This is where the mindfulness practice is especially helpful, in learning how to see the thought as just a thought. If the mind is worried, we try to note, "worry, worry." Then we're meditating. It doesn't mean that we have to have no thoughts to meditate. By just observing the thought and noting it for what it is, we have let go of identifying with the thought and we have the opportunity for some wisdom to arise.
For example, with worry, after noting the worry -- "worry, worry" -- then we encourage you to observe in the body the results of that. How is the body reacting? Bringing the awareness down, we start to see that the body's tense. So what does that teach us? It teaches us that if we attach to this thought, we bring suffering. So what are we learning here? We're learning about the basic law of Kamma. That everything you think has a result. And this is experiential understanding.
You start to see which thoughts bring suffering and which thoughts bring the ending of it. Does that sound familiar? Suffering, what is the true cause of it and how do we end it? So by not pushing the thoughts away, not just trying to get an empty mind, but using mindfulness, objective awareness, noting the thought for what it is and recognizing these hindrances -- "oh, desire, desire" -- you're gaining insight. That moment that you note the desire, or the worry, or the doubt, is a moment of mindfulness and is a moment of clarity because you're no longer worried, fearful or doubtful. And you're seeing how they arise, exist for a while and pass away, so you're getting insight into impermanence, unsatisfactoriness and "not mine," these Three Characteristics of Existence.
This is Insight meditation and whatever is happening in your mind can become the object of your awareness. This makes this type of meditation much more suitable for people in busy lives.