Certainly he can, but that doesn't mean it happened. Any one can accuse you of anything, but that doesn't make it true. Just based on what I have read here, this CSR's attitude is known by others.
It's all spin from this point on. The CSR called the cops, accusing the CA of assualt. The first question the cops will ask is did you have physical contact with him. I just brushed up against him, I was trying to get around him, whatever, if the answer is yes then the CA is on the defensive from that point on.
Next is like an offensive foul in basketball. Who had position. From the narrative, the CSR was standing in front of the door. The CA tried to push through him. He made the first contact and he initiated the contact. Unless he're running from a greater hazard like a burning plane, that doesn't look good for the CA.
Finally, the sympathies. The wildly wealthy spoiled CA (as is the stereotype and how he will be portrayed) or the harried low paid CSR?
It is outrageous we get treated this way, from gutting our pay and beneftis, to going through security, and then having to deal with our own fellow employees who want to get their ego trip of the day by disrespecting jumpseaters, deadheaders, nonrevs, and even working crewmembers who have to beg to be let down the jetway.
Nevertheless, I would not want to be in this guy's shoes.