Possible? Yeah

Every Nuke containment dome is designed to be tornado proof.

True story:

Way back when, I worked in "environmental testing" - One of the labs I used was involved in testing the doors to the containment structure. This was the scenario. An earthquake hits, and knocks down the tubine/support building, leaving the door exposed to the outside world, then an F-5 tornado hits, picking up a 60 ft electrical pole from the spares kept in the neighboring pole yard, and flings the pole small end first at 300 mph into the weakest spot of the door - the door had to survive

First - how do you design the door (not the labs problem) but esecond - how do you TEST the door design?

Answer - Build a copy of the door, and build a section of containment dome wall with the door in it in the middle of a BIG open field. Build a fairly long "blow gun" out of steel pipe that will fit a 60 ft electrical pole - wrap the pole with rags to make an air tight fit, and get a BIG High Pressure Nitrogen trailer filled with something like 10K PSI nitrogen, and blow the pole out the pipe at such a speed that the pole is in free flight at 300 mph at impact.

I didn't see the test in person, but I did get to see the high speed videos taken of the test. The "bang" was quite impressive. Oh, and the door passed

You think you can build a building that can withstand that? It's not just the 300 MPH winds you have to deal with - it's the very large objects moving 300 MPH you have to deal with