I might be misunderstanding the question, but the answer is no.
Transactions you make on exchanges are made "off-chain". The balances in your exchange wallets are updated from the exchange's database without bitcoin (or altcoin) being moved or transferred. This means that there is no bitcoin address associated with each transaction. It is only when you deposit or withdraw coins that you will use an address.
I think this is a good answer for OP to follow. The transactions on exchanges will probably only be view-able through the exchange itself. You can't really trace back the transactions if it's not on the blockchain. However, for deposits and withdrawals, one can see where the transaction comes from / goes to which ends up giving you the exchange address. However, usually, exchanges end up using some type of mixer or something that gives them more anonymity just to protect their customers and whatnot.