Can the store, after paying in it with a bank card, write off the money on its own?

Question

Payment cards

About a week ago, an item was purchased in one clothing store, with payment using a bank card (Sberbank, the simplest Visa Electron), the day before yesterday I received an SMS via mobile bank about canceling the transaction for the purchase amount, and yesterday the same amount was debited again. In the statement on Sberbankonline, the original transaction and its cancellation disappeared altogether, only yesterday's entry remained.
Naturally, I did not carry out any actions for this, neither in the online bank nor in the store itself (I did not even appear there).
The question is - how is this even possible? How can a store repeat a payment without using my card? The fact that he can cancel the payment is normal. As far as I remember, the cashier did not study the card, did not write down data on it (including the cvc code), but I noticed that my last name and first name were stamped on the cash receipt (I noticed this repeatedly with other stores).
upd. the local office of the savings bank, where I received the card, could not answer me anything and also advised me to call the service center (the funny thing is that last summer with other payment problems it was the other way around, the girls from the call center, having popularized me between each other, sent me to my regional office)
upd2. the Sberbank call center operator confirmed my guess that yes, it was a problem with the store (or its servicing bank), the transaction was canceled (only the date of this cancellation is dated by the moment of purchase and not the one that was in the SMS from Sberbank) and a repeat was requested, don't worry about how.