Is There Room for a 240v Breaker
What you can do is move the second from bottom right breaker to the top left and then replace the remaining breakers on the two bottom right stabs with a quadruplex breaker with an independent trip outer pair (15/15) and common trip center pair (30).  Then you can connect the EV charger circuit to the center pair.

Otherwise, you are a half-space short of room for a 240V breaker.  The only way to make enough space in the existing panel if the second-from-bottom-right breaker can't be moved would be to use a deadfront or receptacle GFCI to provide GFCI protection to the circuit that is currently GFCI protected by the GFCI breaker in your panel, and then replace that GFCI breaker with a regular half-width breaker and rearrange the rest of the panel accordingly.

At that point, you might as well just throw a bigger panel at the problem -- 42 space panels are cheap, and if you're willing to throw some more serious cash at the problem, commercial panelboards like the Square-D NQOD line can pack up to 84 full-width slots into a single enclosure.

As to the bar? It indeed means that a two-pole or quadruplex double-stuff breaker can be put there -- it represents the common-trip function in such breakers.  Normally, this is done by an internal linkage, not a handle tie, though.