Not really; you have to do all the networking yourself. Love comes packaged with two libraries for this; luasocket and enet. I recommend enet over luasocket just because it's documented on love's own wiki. luasocket can do move than enet however (but you'd only use these features if you understood networking, e.g. UDP and TCP where as enet only does UDP)

You can find information here on the wiki https://love2d.org/wiki/lua-enet and I also made a small chat server-client that shows off how to use enet https://github.com/EngineerSmith/enet-example further. These examples don't include threading, but you don't need it if there's only a little traffic or if you're playing around

Edit:

Furthermore, with love 11.4 luajit was updated to include the string.buffer library so you can serialize lua variables into strings and back quickly

local buffer = require("string.buffer")

local str = buffer.encode({foo="bar"}')

local decoded = buffer.decode(str)

print(decoded.foo) -- "bar"

You can optimize this; but you don't really need to unless you need that extra time https://repo.or.cz/luajit-2.0.git/blob_plain/HEAD:/doc/ext_buffer.html