Yes, There is a standard notation.
A drum-stroke is represented by a solid note, a cymbal by an 'x'. The position on the stave represents the relative pitch of the drum to be played. (For tympani which are tuned, it would be the actual pitch.)
The use of flags to show note type indicates the relative time, so although each stroke is staccato, of indefinite length, its placing by time is shown. E.g., four strokes in a bar in 4/4 time would be represented by four crochets even though they not themselves of crochet length for the piece.
I don't know if rim-shots, cow-bells, wood blocks and the like have their own symbols but could be shown by annotation. Or left to the drummer's initiative based on experience and empathy with the music as a whole.
