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

In the while loop, as I have said to you before, use a wait. After the "while do" loop add a "wait()".