I think a lot depends on how you personally are defininf "natural"... I've seen a lot of threads where people express very different "lists" of things that are or are not part of a "natural birth".
From what you've mentioned (no IVs, no monitors, vaginal delivery) I would say yes, it's possible. However, some people feel strongly that if there is any interference in the birth (and that would include going someplace during labor, or having strangers entering the birth space) interfere with the "natural" birth process. So if your personal definition includes not being disturbed during the birth, or being in complete control of the setting (total freedom to eat, drink, use alternative birth techniques, freedom of positioning, etc) then the answer is somewhere between "maybe" and "probably not".
A lot will depend on the facility you are using and the care provider you have. A doula can offer support (and without your partner there, I'd 100% support having a doula and perhaps a close friend who is on the same page regarding birth), a pro-birth provider can opt you out of many interventions, a mama/babe friendly facility can provide options that will make your birth closer to that of a birth center.
With dd1's birth my local hospital and the family practice I was with didn't "require" anything. I could move as I liked, eat what I wanted, get into or out of the tub at will. My partner and my doula were both welcome, the staff was familiar with alternative birth practices (incuding hypnosis for birth), etc. It wasn't until the very end (after more than a day of back labor and lack of progress) that interventions (including pain meds) were suggested. And then they were only suggested after I specifically asked about options.
With dd2's birth (same hospital, different provider) I was a vbac mama. Their only interventions were a heplock and BP for me/Doppler heart tones for the babe every 15 minutes while pushing. Everything else (eating at will, moving around, using the tub, pushing in different positions, etc) was still totally fine with them. When I asked about pain medications the nursing staff actually suggested I get back in the tub for a while!
I pushed for 4 hours and had my vbac birth.
With this next birth I'll be at a different facility and with a much less birth friendly provider. So I know the sort of worry you're going through! I'm not thrilled about my birth options. I'll have the doula I was with last time, my DH is totally on board and familiar with our family birth philosophy, and I have spent a lot of time with ICAN and other birth support groups so I know my "rights as a birthing mother". I'm expecting some resistance from the hospital staff and realize that I'll be stepping on toes... so part of my birth prep is getting into the mind space where I'm ok with that.
I hope you find a great care provider (my vbac was with an OB and they were 110% committed to birth as a natural part of life and big homebirth advocates) and have a wonderful birth!