Short answer: yes - a black and white deck is completely viable.
Long answer: it is a lot more complicated than that, and will depend on what cards you have available.
For example, in Origins 2015 (the most recent set of cards at time of writing) the most effective* strategy to take with a black and white deck is to build a deck that includes many enchantments, where as the most aggressive deck is probably one that includes red and white.
In Khans of Tarkir (part of the second most recent set of cards) black and white had lots of warrior creatures that tended to lend themselves to aggressive decks. However in Ravnica expansion a few years ago the black and white deck was about gaining yourself life while making the opponent loose life simultaneously. This was focused on a much slower victory.
Depending on what format you are playing (anything from strict Standard-Constructed to loose "kitchen table" rules) you can use different cards. As you start to take cards from more than one set you will probably find that these archetypes become less prescriptive, but I have added them to give you an example of some of the flavours that B/W combos can bring.
In my opinion Red will often be more aggressive than green, and is usually more aggressive than either white or black (though again it is dependant on the cards that you have available) - so if you want a more aggressive deck then red might suit you better. It tends to have a higher concentration of spells that directly damage your opponent and opponents creatures, as well as creatures that have a higher power - though this often comes at the price of lower toughness.
*your mileage may vary