A:
No, this is not possible with just the TV and player. The purpose of the wifi capabilities is have access to your network through the device (your TV or bluray player), meaning the apps on the devices can access your network, or internet without and Ethernet cable. It cannot stream the picture from the player to the TV.
Now, there are wireless streaming devices that can take your HDMI out of the bluray and connect it wirelessly to your TV but this is not actually over your "wifi" network. Those units can be quite costly, don't work reliably, involve compression (picture quality degradation) and are not typically recommended.