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With Lightroom specifically? Not really. You could export things straight to the external drive and then delete them, if you wanted to keep the iPad storage clear. Or there’s an Adobe app you can use to download your Lightroom library to an external drive attached to a PC, if it’s the backup you’re after. I don’t know how it is with all the possible photo editing apps out there, but my general experience has been that you have to import things to the iPad app and work on them locally, but you can export them wherever you want after that.
Is there any way to use external memory HDD/SDD with an iPad or is it just Cloud?