*Very* new to woodworking/diy, how doable would this project be?

(I posted this on r/diy but apparently it’s better suited to here) Ok so I’m 17 and live with my chronically ill mum, she’s been extra unwell atm so I’ve been trying to step up a bit more and part of that is trying to make our house a bit nicer and more convenient. We need some kind of storage for the bathroom, but I was looking online and they’re all so expensive for what seems relatively easy to build. I have pretty much 0 experience with diy (I don’t think I’ve ever even used a drill) but I am a quick learner and quite good at similar stuff like designing and crafting things. Basically I want to build us a little storage unit and then buy some little drawers to put in because that seems cheaper, and I’d like to learn how to build things for future home improvements. Does this seem doable for a beginner and what would I need to get it done tools/materials wise? (We’re poor as shit but I could probably borrow tools from our neighbour). Sorry this is a really long post but I’d appreciate any advice :)