There are a lot of answers in this thread already that tell you how to do it, e.g.:
julia> df[coalesce.(df.a .!= 5, true), :]
4×2 DataFrame
Row │ a b
│ Int64? Int64
─────┼────────────────
1 │ 3 1
2 │ 6 3
3 │ 0 4
4 │ missing 5
or
julia> df[.!isequal.(df.a, 5), :]
4×2 DataFrame
Row │ a b
│ Int64? Int64
─────┼────────────────
1 │ 3 1
2 │ 6 3
3 │ 0 4
4 │ missing 5