I had never heard of the term DSMS, but looking at the description on wikipedia I think Storm can definitely be said to be a DSMS.
From wikipedia:
It is similar to a database management system (DBMS) [...] However, in contrast to a DBMS, a DSMS executes a continuous query that is not only performed once, but is permanently installed.
That sounds exactly what Storm is. Note however in case of Storm, it is usually used in combination with a DBMS. For example, Storm can offer One-time queries
, unlimited secondary storage
etc. which the wikipedia says is lacking in DSMS when it's combined with a DBMS.