ok so I’m sure there will be lots of people who will disagree, but there is no such thing as a person without “Psychic” abilities. In truth Psychics are just people who are sensitive to their intuition. Since most people have shut that part of themselves off they may feel as if they have no ability. In fact Tarot cards are a tool to encourage and develop that intuitive nature and that psychic ability. That was the long answer the short answer is yes.
How to use the the Tarot cards for this purpose is a completely different question and answer.
There is another part of this question I would also like to address. It’s not a good idea to give yourself a reading. Why? Well when we give ourselves readings we tend to interpret things to mean what we want not what our intuition says.
Psychic and intuitive are two crucially different things, especially regarding Tarot and other Magickal practices.
Everyone has intuition, whether or not they really listen to it (or even know how to) it’s still something we innately possess and can use whenever we want or need. Tarot is ALL about intuition.
Each card has it’s traditional meaning (for example Death representing a great change) but a big part of Tarot is using the emotions and feelings you -personally- get by looking at the cards. Sure, the book says it means change, but you might be sitting there and just -feel- that the card is something entirely different. Maybe you’ll see ‘sickness’, maybe you’ll see a physical death. It’s all about how the card makes you feel!
Tarot is all about adding your own interpretation to the spread. Why? Because you’re the one that shuffled, you’re the one that asked the question and focused your energy into the cards. It seems reasonable that whatever you draw out has a specific, personal meaning to you – even if it isn’t the same one as in the book!
There are many meditation and Tarot contemplation methods out there that are very useful for getting to really know your deck, and these will help train you to actively utilize your intuition to get the best possible readings.
So don’t worry about accurate readings, just take your time to learn you deck, and it will just naturally come to you.
You’re a natural, you just might not know it yet. =)