No, you can't
Since your panel isn't listed and labeled to have a breaker put there (the wiring diagram on the panel label would show a set of usable spaces there if they were intended to be used), it can't have a breaker put there (not without violating NEC 110.3, that is). You'll have to find a different way to fix the space problem (perhaps with the aid of double-stuff breakers?)
While you're in there...
You also have a fairly minor alien problem -- the panel's a Murray LC120 and is only listed and labeled for Murray MP breakers as a result. (Newer Siemens/Murray panels are cross-listed for MP and QP, but yours is too old for that.) So, you'll need to replace that BR tandem with a MP2020 and move it to one of the bottom four slots of the panel (as it's currently in a place that violates the panelboard labeling due to CTL issues), while replacing the other BR with a MP120 or an Eaton CL120 (which is UL classified for use in a Murray panel).