Weather or not it's a problem depends on what you mean by a "long time." If it's just a little longer than other cars you've experienced, then I'd say that's normal because my base RSX does take longer to start than other cars I've owned. I had an '81 Impala where I'd pump the gas pedal once, and then the instant I turned the key that 305 V8 would come to life. Wouldn't even hear a crank, just boom, engine's running.

Anyway, if it seems excessively long then get it checked out at the dealership.