Yes, imagine that I opened a request order, it is open now and I set it to receive XXX BTC, but I don't deposit, I let it open, and after some Years I finally use this adress to make a deposit.
Is this possible?
Yes. Anyone can send bitcoins to any address at any time. It doesn't matter when the address was displayed by your wallet. However, in order to spend any bitcoins sent to that address, you will need the private key, or the seed that generated the private key. I assume that any wallet that displays an address will save the private key to that address. It would be very bad if it didn't.