Yes, you should do, but you will need a very good wireless connection providing a stable 25Mbps at least.
Wireless can be affected by external factors like Client Hardware, Range, the topography of your home and the big killer wireless interference.
The first concideration is what wireless devices do your TV and media streaming device use. What hub do you have?
Range will obviously play a big part as the wireless signal will degrade over distance.
Obstacles like walls, floors, doors, ceilings, furniture etc. will also play it's part.
Wireless interference from nearby wireless networks and domestic appliances like A\V streaming devices, baby monitors, microwave ovens, plasma TVs, Security systems etc. can degrade the signal as well. Using the 5Ghz band can help avoid interference at the expense of some range.
Wireless is not really suitable for stable high speed connections, a wired connection will fair much better.