Can External My Book drives be 'daisychained'?

I have an older PC but have upgraded to Windows 7 Pro 32 Bit. I currently have 1 My Book 1TB external drive connected via USB 2 - I do not have USB 3 on my PC. I would like to add a second My Book Drive (2TB). I’ve run out of USB ports on my PC. Is there some way to connect the two drives together and then to my PC using only 1 USB 2 port as input for both drives?

You can try a hub but it’s not recommended. Get a new USB card with more ports they are simple to change. Just search a bit try Ehow.