The answer
Yes. A custodial exchange can maintain customer balances on an internal ledger and pool funds in shared wallets. Your screen balance is a claim against its custody system, not necessarily a standalone blockchain UTXO.
What to do next
Use the platform’s withdrawal function if you want direct possession of coins in your own wallet; confirm the network and fees first.
Kraken crypto exchange
Relevant exchange option; verify coin/network/region support. Availability, supported assets and local eligibility must be checked before signing up or buying.
Visit Kraken crypto exchange ↗Official provider link · Compare suitability and availability before choosing.Related crypto questions
Frequently asked questions
Why do transfers between exchange users sometimes have no public transaction ID?
Because the exchange can move balances internally without broadcasting a blockchain transaction.