I draw with my finger. I didn't use my stylus that I've bought, and continued on drawing using only my fingers.
Try deleting some unwanted app from your phone and install Medibang. You don't have to use a large like canvas if you're afraid that it will not be able to run it. Just use maybe 1000 ~ 2000 first and draw on it until you're used to it.
I don't rknow how old your phone was or how large i, but I used to draw on an 5 inch and lollipop Android. They work just fine.
Zooming is only normal cause it's impossible to draw without zooming in. I used to zoom everything until the individual pixels are visible and draw it like that too. That's a bad habit tho.
If you don't believe that it is possible, let me tell you that all of the digital stuff on my instagram is draw on my phone (except a few new one), and I have a short comic that will be printed on books coming.
All of the pages are made on my phone entirely.
So just try it man. How would you know how it'll be of you don't try to get used to it?.