I got success to get some handshake, with my tinny PCIe atheros.
This is my "lspci | grep Wireless" :
But it could be hard sometime to get, remember to launch your deauth with the mac address of a client in the -c parameter.Also check your wireless driver, madwifi is a good choice.
01:00.0 Ethernet controller: Atheros Communications Inc. AR5001 Wireless Network Adapter (rev 01)
Even there is many reason why you can not get one, take a look here, specially the 'I Cannot Capture the Four-way Handshake!' you can find usefull informations.
In the end, for your question I think it is yes for many people with bt4, and a atheros chipset card, but as you can see in the link there is a lot of parameters to take in consideration.