Ultimately, yes, a person always has the right to not get vaccinated, though it might mean losing their job, being unable to visit family members (in nursing homes, for example), go to school/college, and eventually being unable to go to stores to buy food and other necessities (I can imagine most stores falling in line due to either concern of the virus, or in response to the nice incentives and perks offered by doing so). Those who choose not to get vaccinated will simply become 2nd class citizens. Because it will, I'm certain, eventually become mandatory.
The government is conveniently able to use the businesses to advance their agenda, many are willing to go along and make this mandatory for their stores (and here in the US, only a few large chain stores would need to do this to make a huge impact), and some of those who aren't willing will eventually give in. What will happen to those few holdouts? Why, it's contrary to the common good, their right to choose for themselves is endangering public health and is outweighed by the collective welfare of the people. Goodbye choice and individual rights.
And honestly, I'm not a "don't tread on me" type, I fully believe we should be law-abiding citizens. I just think there's something more going on here. And in any case, no one has any business telling you what you need to put in your body.