Consider the Battlemaster Fighter's Feinting Attack Maneuver
A Fighter with the Battlemaster archetype has access to a manoeuvre which could be alternatively described to achieve the effect you want: Feinting Attack.
When using a Feinting Attack, the Battlemaster spends a bonus action to grant themselves advantage on their next attack roll against a creature. If that attack hits, they get to add bonus damage based on their "superiority die" (so between a d8-d12 extra). You could easily describe that as preparing for an extra powerful hit rather than an actual feint.
There are some downsides - it requires the use of a limited resource, so you can't do it constantly. It also requires the target to be adjacent to you, so it's not much use at range (though you could make the feint, move away, and then attack with a ranged weapon). Additionally, though the original printing of the ability did not feature a time limit - so you could activate it on one turn and make the advantaged attack on the next - that was errata'd, and you lose the benefit if you don't use it by the end of the turn (so you can't set up on one round and hit on the next).
If your game allows feats, you can even gain limited access to this ability without being a Battlemaster by taking the Martial Adept feat, which gives you one superiority die and lets you learn two Battlemaster manoeuvres - but I would caution that this looks like an extremely suboptimal feat choice compared to the benefits of many other feats or just taking a straight ability score increase, so you would be willingly sacrificing character effectiveness just to be able to do this once per rest. I wouldn't recommend it personally and only include the option for completeness.
Bonus Option: Dancing
I decided to look up the media you reference to see if it would spark any further inspiration, and it did. I found a clip here which seems to showcase this fan-throwing fighting style that you reference. I think possibly the best way you could actually achieve something visually similar in D&D is to use a Dancing Sword - or at least, a fan with the same enchantment, which a reasonable DM should have no problem with allowing.
You can use a bonus action to toss this magic sword into the air and speak the command word. When you do so, the sword begins to hover, flies up to 30 feet, and attacks one creature of your choice within 5 feet of it. The sword uses your attack roll and ability score modifier to damage rolls.
While the sword hovers, you can use a bonus action to cause it to fly up to 30 feet to another spot within 30 feet of you. As part of the same bonus action, you can cause the sword to attack one creature within 5 feet of it.
After the hovering sword attacks for the fourth time, it flies up to 30 feet and tries to return to your hand. If you have no hand free, it falls to the ground at your feet. If the sword has no unobstructed path to you, it moves as close to you as it can and then falls to the ground. It also ceases to hover if you grasp it or move more than 30 feet away from it.
Basically, when you activate a dancing sword, for the next few turns it flies about and attacks people, being controlled by the use of your bonus action. After four attacks, it has to return to your hand, or it falls to the ground if you don't or can't grab it again. If you had a fan with this enchantment, it seems to me that it would look a lot like the fighting style of the character you're inspired by!
It doesn't involve giving up any attacks or making more powerful attacks, though - the dancing weapon only does normal damage as if you were wielding it directly, and as it's a bonus action to make it fly and hit something, you don't get less attacks than if you were doing normal two-weapon fighting. It does also depend on being a magic item to provide the effect, rather than it being your character's own skill, so that might be less appealing as an option.