Is there any such symbol that is similar in Unicode?
After all, I was able to find ☰ as a symbol, just wondering if there is anything similar to a grid of icons.
No, there is not. You can check yourself the "Symbol, other" (So) list, and possibly the "Symbol, math (Sm) list" (and also other lists, if you deem it worthwhile).
The closest approximation I could find is U+25A6, i.e., ▦ (if your browser is able to display that)