You might improve the technical aspects. But there's more to photography than just technical stuff - assuming you want to create art and not just fire away blindly without thinking what you want to achieve with your photograph. In other words, there's a difference between art and the average vacation selfie.
If you cannot work around the noise, use it as an integral part of your work. Anyone remembering the amazingly bad photography of Ernesto "Che" Guevara? After some "analogue photoshopping", it became the iconic "Che picture". Well, don't get carried away now and expect that your hockey photos will automatically achieve the same level of fame, but still try to think a bit more of the meaning and the emotions you want to convey with your image.
One important point, apart from level/color adjustments, is cropping. Cut away everything which is not needed (while still maintaining a reasonable aspect ratio). I did an ugly example where the player appears to enter the picture from the right, moving to the vacant space on the left (which could be even larger, to convey the determination of the player to occupy this space, carelessly left unoccupied by the opponent's defense team, just split-seconds before he nails a decisive goal past the helpless goalie...well, I guess I'm getting carried away).
And, honestly, like all the others here, I don't think neither you nor your camera did a bad job!
Regarding the difference between the noise shown in typical reviews and the noise an actual user might perceive when shooting under imperfect, real-life conditions: there is always noise, regardless of the ISO setting. It is more noticeable in some pictures and may be totally invisible in others. Or it might be covered by the JPEG compression artifacts, or smoothed out by some anti-noise algorithm (which can also remove fine detail, so such algorithms are typically more often found in cheap consumer cameras). A photograph with very bright sunlight and deep shadows will, even at ISO 100, will begin to show noise in the shadows when you start playing around with the exposure curves during RAW processing.