Yes you can but it would be really hard to do.
I also think you could only find them or know their identity if they have a well known address or an address from some exchange or online wallet that have a strong KYC policy.
This is not true, you cannot track the identity of the owner of transactions, and this is due to the anonymous nature of addresses. Only few companies exist that are specialized in this work, by spending a great time they can only analyze the address and the identity of owner of the transactions. A normal person cannot track this, people are just spreading wrong information about it.
Not true?
Apart from the example MK4 has given, here is another possibility:
If you, for example, can prove that you owned the bitcoins on adress X, which then were transferred to adress Y in the form of a theft (the bitcoins were stolen from you), and then went from adress Y to adress Z, which, for example, is a coinbase adress;
I'm pretty sure that if we're talking about significant amounts, you could most likely legally contact coinbase to ask them to block those funds from being cashed out, and for the owner of those funds to prove where he obtained them from. (Or if your funds are already gone, at least coinbase will share certain KYC information with you or the authorities).
I'm not saying you could get them back, that's for a judge to decide (or if you were even on time), but you can definitely find out who's behind a certain UTXO by tracking all the offramps it went through or came from (KYC-required exchanges such as coinbase, bitstamp, etc)
Of course, you can't always link an identity to a UTXO, often there are a lot of "ifs" involved, especially not as an individiual, but it is far from impossible to do so as an individual, especially if you have certain legal resources to contact exchanges and make them co-operate. That is of course; you have a valid case.
See:
With law enforcement, officials, or other third parties when we are compelled to do so by a subpoena, court order, or similar legal procedure, or when we believe in good faith that the disclosure of personal information is necessary to prevent physical harm or financial loss, to report suspected illegal activity, or to investigate violations of our User Agreement or any other applicable policies.