Yes. Each country and time zone works differently for everyone, but you can trade price action with a full time job.
In Australia, having a job and trading the Forex markets works almost perfectly for a lot of the year because they are able to wake up, check the New York close candle as it closes for any potential setups, and go off to work. When coming home from work, the UK session is about to start, which is the perfect time to start hunting intraday setups.
In other countries, a different approach is needed. I have lifetime members in South Africa who have full-time jobs and have decided to concentrate on the 4 hour charts with their trading. This is the way it suits them best with the time zones, so it is really just how it suits you and your situations best.
Read about how to trade with a full time job here.