You absolutely can do it.
This answer will focus on data science, since that matches the job description you posted. I know people with similar profiles who have made the transition. It will take some work to fill in some gaps in your experience, and to think about how to make your experience relatable to an employer. Even if you don't use the tools they are looking for, perhaps you can show you've used similar tools. And over time, you can learn the tools you need.
One thing to keep in mind is that many, probably most, people who do these jobs don't have PhDs. So it is not true that you need a graduate level education in the topics you listed . What you do need is a working knowledge of common tools. It's useful to take one or two online courses that include actual coding examples so you can practice getting practical experience.
You should also be aware that (a) the "requirements" companies post are not strict requirements -- the ideal candidate will have all those things, but no candidate is an ideal candidate, so people are hired who meet a fraction of the criteria all the time and (b) people pad their resumes. You have to decide for yourself what you are comfortable with how you describe your skills on your resume. You shouldn't lie; you should be ready to explain and demonstrate any skill you put on your resume, and you should be prepared to have to use that skill on the job if you're hired. But, you also shouldn't sell yourself short -- you can pick up the basics of a lot of these packages before or while you are applying to jobs.
There is a major skill you have because of your PhD -- your ability to learn new things independently and use them to tackle unsolved problems. This is harder to quantify and put in a list, but it is very valuable to be able to do that in the business world.
One way to demonstrate your problem solving skills, and to learn the tools you need in the field, is to do some kind of personal project that you can do to show off your data science skills. A common first project is to compete in a Kaggle competition, or do a previous competition, and be ready to talk about the decisions you made analyzing the data. However, if you can find something that stretches you beyond this, that is even better -- Kaggle lets you demonstrate you can fit a model to data, but it doesn't include many steps that are part of the bread and butter of a data science job, such as gathering and cleaning data, and deploying a model so it can be used for something.
Finally, there are data science bootcamps that exist to help people in academia transition to data science. Your mileage may vary on these... On the one hand, they claim to be able to place people into very good jobs. On the other hand, they are expensive and you will have to go for several months without a salary. But, they are an option to consider as well if you are having difficulty landing a job.
None of this is to say that you won't have to work hard. You may need to spend a significant amount of time on your resume, practicing for interviews, and sending out lots of resumes (it's a numbers game -- most places won't respond to a resume they receive without a referral, but some will if you have a good resume). You may not succeed at first. But it is possible with dedication.
There are a lot of resources online for people looking to make this exact transition. It is possible to get too far into the weeds with them, but do take a look at stories of people who went into industry and practical tips for getting into the field you are interested in. I also urge you to draw on your in-person network as much as possible, both for advice (if you know people, or know people who know people, in the industry you want to work in) and for emotional support. Looking for a job, and changing fields, is tough, and you won't get a lot of direct support within academia.
 Something one of my friends pointed out to me is that in academia, you spend all your time around PhDs, but most people outside of academia do not, and find a PhD to be impressive! Now you don't want to take this too far and rest on your laurels, especially since just the fact of having a PhD by itself will not convince anyone to hire you, but do keep in mind you have some real strengths that may not be obvious to you because of the environment you find yourself in. You are going to need to recognize these strengths and convey them convincingly to potential employers.