Sure can - just delete the save file. They are located in: \AppData\LocalLow\Studio Besus. Removing the whole Firewing folder should take care of it.
6 months later, but is this the only way to reset the game? I ask because I can see the "Delete Save" option in the start menu, that seemingly only pops up when you boot for the first time with an empty save folder...
For me, it's less about seeing the first cutscene, and just having a clean slate (no collected items or kart/gate) for some potential speedruns!
Worst case, I have to do those 3 mouse clicks and change settings to windowed mode again each time. No biggie