How to smoothly replicate with RemoteEvents?

I have RemoteEvents that fire from the client to the server as quickly as possible, but there is always a delay, therefore causing some errors. My goal is to create a smooth seamless environment, but this cannot be done because of the latency between clients and servers. Is there any way to smoothly replicate something as if there were no delay between the client and the server? If not, how would one go about making a pseudo-environment such as doing something client side while waiting for the server?

Here is some code just in case that is an issue:

Server:

coroutine.resume(coroutine.create(function() 
    GenerateBlocks.OnServerEvent:Connect(function(player, targetSelection)
        if targetSelection ~= nil and targetSelection.Parent == Mine then   

            local TargetPos = targetSelection.PrimaryPart.CFrame

            Instance.new("Folder",BlockData).Name = tostring(TargetPos)

            coroutine.resume(coroutine.create(function()        

                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x,TargetPos.y-8,TargetPos.z)) --Bottom

                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x,TargetPos.y,TargetPos.z+8)) --Right
                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x,TargetPos.y,TargetPos.z-8)) --Left
                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x+8,TargetPos.y,TargetPos.z)) --Forward
                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x-8,TargetPos.y,TargetPos.z)) --Backward

                createNewBlock(ChooseBlock(player, TargetPos.y):Clone(),CFrame.new(TargetPos.x,TargetPos.y+8,TargetPos.z)) --Top

            end))
        end
    end)
end))

coroutine.resume(coroutine.create(function() 
    DestroyBlock.OnServerEvent:Connect(function(player, targetSelection)

        if targetSelection ~= nil then

            targetSelection:Destroy()       

            local Inv = game:GetService("ServerStorage").PlayerStats[player.Name].Inventory

            for _, InvItem in pairs (Inv:GetChildren()) do

                if InvItem:IsA("IntValue") then
                    if InvItem.Name == targetSelection.Name and targetSelection.Name ~= "Soil" then
                        InvItem.Value = InvItem.Value + 1
                    end 
                end
            end
        end
    end)
end))

Local Script:

function Mine(Target)
    if mouseDown and not CurrentMining then

        CurrentSelection = Target   

        if CurrentSelection ~= nil and CurrentSelection:IsA("MeshPart") then
            CurrentSelection = CurrentSelection.Parent.PrimaryPart
        end


        if CurrentSelection ~= nil and CurrentSelection:IsDescendantOf(workspace.Mine) and CurrentSelection:IsA("BasePart") or CurrentSelection:IsA("MeshPart") and CurrentSelection.Parent:IsA("Model") then

            GenerateBlocks:FireServer(CurrentSelection.Parent) -- Generates surrounding blocks beforehand.

            while CurrentSelection ~= nil do
                CurrentMining = true
                ProgressBar:TweenSize(UDim2.new(0.96,0,0.7,0), Enum.EasingDirection.InOut, Enum.EasingStyle.Linear, mineTime, false, callMine)
                break -- so that it only runs 1 time, so long as the CurrentSelection exists.
            end                 
        end 
    end     
end

function callMine()
    if equipped then
        ProgressBar:TweenSize(UDim2.new(0,0,0.7,0), Enum.EasingDirection.InOut, Enum.EasingStyle.Sine, 0, true)
        CurrentMining = false

        if CurrentSelection ~= nil and mouseDown then
             DestroyBlock:FireServer(CurrentSelection.Parent)
        end
    end

end