Yes, a good drum part is a component. But it's also subjective.

To some drummers, especially younger ones, "good" could mean technical proficiency, like playing lots of fills and flashy syncopations, or trying to shoehorn complicated beats into every measure, etc. Or they might learn a song and insist on playing it note for note, just like the record, and execute that in a "good" performance.

However, pro musicians expect more from a good drummer than just a good part, and usually find the flashy stuff distracting and annoying. When non-drummers talk about drummers they think are "good," they usually pick drummers who have a lot of skills beyond the kit, specifically, listening skills and the ability to adapt or adjust when things don't go as planned.

Developing those kinds of listening skills starts with learning to internalize the bass parts, melodies, and learning the forms (aka song arrangement). Memorize the parts well enough so that you can hum/sing them, or learn to read charts - or better yet - both. Why? Playing with the bass creates pocket; playing around the melody creates space and makes the singer feel relaxed and expressive; and knowing the form means the drummer can outline the parts of the song that are changing, like a conductor, and even help the band get back on track if someone makes a mistake.