Can I Become A Buddhist?

Sure!

But a Buddhist would ask, why do you want to do that?   The most important thing is to follow the Buddha's instructions for developing happiness, not to make a declaration about what you do or don't believe.  In brief, he taught:

"Do no evil,
Do what is good,
Purify the mind.
This is the teaching of all the buddhas."

If you want to learn more, see this introductory Buddhist website:
www.justbegood.net

Here is another great website on Buddhism; in this one you can find hundreds of the Buddha's sermons well translated into English: http://http://www.accesstoinsight.org/" target="_blank">www.accesstoinsight.org

Good luck to you!  May you find the highest happiness, forever!