No, it does not. PuTTY does not use any AI or LLM during its operation. No code implementing an AI or LLM system is included in PuTTY itself, and also, no AI or LLM system elsewhere on the Internet is consulted by PuTTY when it runs.
PuTTY aims to be reliable, predictable and efficient in its operation. The 2020s style of AI is bad at all of these things, especially ‘efficient’.
PuTTY does not collect any data from its users to communicate to any host run by the PuTTY developers, for LLM training or for any other purpose. (See appendix I for more detailed information about what information PuTTY does store and transmit, but the short answer is, it only stores information necessary to do its job, and only talks over the network to the servers you told it to connect to.)
Of course, after you use PuTTY to connect to a server, that server may choose to do AI-related operations, or to collect the data from your session. PuTTY can do nothing about that (or even detect it happening), and if you're concerned about it, you'll have to consult whoever runs your server.