I don't know your body condition: so ... "maybe"? Or, "maybe not now, but maybe soon"?
I did 36 km per day (18 km each way): my body is male, aged 50+, weight 75 kg, height 182 cm, but with normal BP.
For the first month or two, I didn't do 5 days/week. Some alternatives for you might include:
- Fewer days/week
- Only do it one-way somehow (e.g. cycle there, bus back)
- Only do it part-way somehow (e.g. cycle-then-bus there, bus-then-cycle back)
Good news is that you can (in theory: your mileage may vary) become fitter: for example if you commute like that for 18 months then you'll have cycled more than 10,000 km and (in my experience, even at my age) your body ought to have adapted.
If you have a medical condition though you should probably talk with your doctor. High blood pressure sounds to me like a risk of stroke, low blood pressure like a risk of fainting, neither of which are healthy while you're cycling in traffic. On the other hand, it's possible that cycling is (if it's good for your health) therefore less of a health-risk than not cycling would be.
I don't entirely like the look of your bike, I'm sorry to say. When I got a new job 18 km away I thought to myself, "I'm going to need to find myself a new apartment, closer to my new work ... or, find myself a better bike." Because I already had a bike for like a 6 km commute, but it wasn't a good bike. A better bike goes much faster much more easily. Things I notice and don't like about your bike include:
- Full suspension, front and back
- Knobbly (like mountain-bike-style) tires
If you're "planning to get" this bike, that might be not the right plan: depending on the road conditions, and assuming it is a road, a bike without suspension and with 'slicker' tires might well be better for you.