You can send liquidity with a atomic swap through boltz exchange for example.

But from where or what do you want to send liquidity with that invoice?

Then you have to have lightning in another channel or have someone send you lightning to provide you liquidity.

I also would make sure to create a big enough channel so you don't have to open a new one when you want to receive more. And the costs of the on chain fees are quite high so better to put in a higher amount in one go.