Yes, you can have an Array{Any, N}:
julia> rand([1.0, true, "x"], 3, 3, 3)
3×3×3 Array{Any, 3}:
[:, :, 1] =
true true true
"x" true 1.0
1.0 true 1.0
[:, :, 2] =
"x" 1.0 "x"
1.0 true true
"x" "x" "x"
[:, :, 3] =
1.0 1.0 true
1.0 1.0 1.0
"x" true 1.0
whether that’s a good idea is a different question - certainly not if you are using this in any performance critical code.
Maybe it’s an artefact of your drawing but your image looks like a table rather than a multidimensional array (maybe what people sometimes call a “long format” table), maybe a DataFrame works for you:
julia> using DataFrames
julia> DataFrame(id = [1,1,1,2,2,2], i = [1:3; 1:3], P1 = rand(6), check_ev = rand(Bool, 6))
6×4 DataFrame
Row │ id i P1 check_ev
│ Int64 Int64 Float64 Bool
─────┼───────────────────────────────────
1 │ 1 1 0.761151 true
2 │ 1 2 0.946944 false
3 │ 1 3 0.633906 false
4 │ 2 1 0.696095 false
5 │ 2 2 0.87252 false
6 │ 2 3 0.0642857 true