For-loops are very fast in Julia. If you need to do it many times, you can just write a small function like so:
function cumulate!(B, A, idx)
for (i, Aᵢ) in zip(idx, A)
B[i] += Aᵢ
end
end
julia> cumulate!(B, A, idx)
julia> B
2×2 Array{Float64,2}:
1.1 0.0
0.0 0.0