Yes, you can carry a recumbent bike in a Model S!

[David29]

An acquaintance wanted to see if he and his wife could fit their recumbent bicycles into a Model S, so they asked me if they could do a test in my car. We did, and it worked. They carefully protected some exposed surfaces in my car (the carpeted backs of the rear seats, and the back of the front seats, plus the exposed top surface of the bumper), and slid the bikes in. they had two different styles of bikes, but both fit without removing anything (except the warning flag).
So, I think they might look for a used Model S...

I do not think this would work in a Model X, and certainly not in a Model 3.

Photos are in a small album on Flickr: Loading Recumbent Bikes into Model S

 

[Owner]

An acquaintance wanted to see if he and his wife could fit their recumbent bicycles into a Model S, so they asked me if they could do a test in my car. We did, and it worked.

Their recumbent bikes have pretty short wheel bases. Mine is much longer.... won't fit in the Model S.

 

[David29]

Their recumbent bikes have pretty short wheel bases. Mine is much longer.... won't fit in the Model S.

Bummer! I do not know much about such bikes so I had no feel for how these particular ones fit into the overall category.