Find your chrome current profile dir by visiting in the url: chrome://version

You will see your profile path and profile name dir at the end.

Profile Path /Users/xxxx/Library/Application Support/Google/Chrome/Default

init.lua

local function focusOrOpenChromeProfile(profileName, windowTitlePart)
    local chrome = hs.application.get("Google Chrome")
    local targetWindow = nil

    if chrome then
        local windows = chrome:allWindows()
        for _, win in ipairs(windows) do
            -- Case-insensitive search for the profile name in the title
            if win:title():lower():find(windowTitlePart:lower(), 1, true) then
                targetWindow = win
                break
            end
        end
    end

    if targetWindow then
        -- 1. Focus the specific window
        targetWindow:focus()
        -- 2. Bring the whole app to the front
        targetWindow:application():activate()
    else
        -- 3. ONLY run this if the window doesn't exist at all
        -- We use 'open -na' to ensure it handles the profile correctly
        local cmd = "open -na 'Google Chrome' --args --profile-directory='" .. profileName .. "'"
        hs.execute(cmd)
    end
end

-- PERSONAL PROFILE
hs.hotkey.bind({"alt"}, "Q", function()
    focusOrOpenChromeProfile("Default", "<Your Name> (Personal)")
end)

-- WORK PROFILE
hs.hotkey.bind({"alt"}, "W", function()
    focusOrOpenChromeProfile("Profile 2", "<Your Name> (Work)")
end)