No. Your rent in Alberta and travelling back and forth to BC are considered personal expenses and therefore are not deductible.
You indicated that you moved back to BC in 2015. You may be able to claim moving expenses on you next years (2015) return. For more info please see http://www.cra-arc.gc.ca/tx/ndvdls/tpcs/ncm-tx/rtrn/cmpltng/ddctns/lns206-236/219/menu-eng.html
