I've had a quick look through the tags, and those specific tags don't exist. There is a single tag for technology, a single tag for magic, and individual tags for medieval, modern-age, near-future, and far-future. If you wanted to ask about "magic-enhanced modern technology", you would have to use magic, technology, and modern-age all together.
If not then is there a way to make them?
Creating tags is a privilege, for which you need 300 reputation. Once you have that privilege, creating a tag is as simple as typing the tag name into the "tags" box when asking a new question.
The real question, however, is whether it's worth having such specific tags.
My understanding is that if a tag doesn't get used often enough, and/or tends to get used in low-quality questions, it gets removed. technology and magic have been used together 68 times, but at a glance, not many of those questions are specifically about magic-enhanced technology, and about half of them have been closed.
As for specific time periods, technology has been paired with:
There are exactly 5 occasions on which technology and magic have been paired with any of those four time-period tags.
- I would support the creation of a "magitek" tag, for questions about magic-enhanced technology
- I would possibly support the creation of "future-tech" and "medieval-tech" tags, for questions about technology from specific eras, but will defer to community consensus on whether those tags are needed.
- I do not believe that the other tags you requested are necessary, as there does not appear to be enough demand for them.