Is this the first service oil change? How many miles on the oil? Did you change the filter too? When do you plan on changing the oil next?
I think those are all important context here on whether or not it's a good idea. If you're doing this between the recommended service intervals, then it's better than not doing it as long as you don't melt that syringe hose inside the engine. If you're substituting this for a regular oil change interval then without the gravity-drain effect it's likely leaving more crud behind than doing it the recommended way. That syringe isn't doing the same thing as an oil extractor that would be used for automotive, marine, or big diesel oil changes. Those run more vacuum and depending on the engine, if you pull the drain plug after running one the correct way there won't be a single drip out the plug hole. They also start the extraction from a low point in the engine, so they have the whole oil volume moving toward them for extraction which is similar to the effect of draining vs sucking oil off the top. If it's the first service, there's going to be
more "crud" from the manufacturing process in the oil where I'd personally want to "drain" as much of that as possible.
There are 3 places on your JA65 engine designed to catch and retain crud: 1) oil strainer screen right above the drain plug, 2) oil spinner/centrifugal filter, 3) oil filter. Just keep those in mind and don't neglect them. Even with the JA65 Honda still recommend pulling the crankcase cover once you get way up there at 8k miles to clean the centrifugal filter and strainer screen.
Cardboard boxes are my free go-to for not spilling oil on the ground. Free and often plentiful. If you're working at ground level they also make for a more cushioned surface to lay on top of than gravel or concrete. If you've got a smaller catch pan where you are worried about positioning it for the path of the oil flow or oil soaking through the cardboard, you can use a baking sheet as a secondary catch tray. I've found used and abused baking sheets at Goodwill for just a few bucks and they're a handy for that or as parts trays.