Yes, it is absolutely possible. More than that, there are a lot of guys making an excellent living by crypto trading. But the question should likely rather be: How easy is it to reach sufficient profits to be able to do nothing else anymore?
Professional day traders with years of experience, who already live from trading since quite a while, usually find it relatively easy to trade the crypto markets. The high volatility is simply heaven for skilled traders. However, it takes time and effort to come to that point.