Er ... no they don't.
There is no way of doing that. DNA profiles
only ever come into use if a DNA sample of the suspect(s) for the new offence is available. In that case the profile is compared against those on file and a match is sought. As with fingerprints there are sometimes profiles that are very similar but it is extremely unusual for the lab to send back a list of
possible suspects - I have only ever known it in cases where for some technical reason (degradation of sample, mixing of DNA) a "clean" and complete profile cannot be obtained.
If no DNA profile is obtained from the scene there is abslutely no way at all that the database can be used to suggest the "usual suspects".

Please think crtically about scaremongering like this.
There is also a new technique which seeks to track back similarities in profiles between siblings so that if a profile is obtained which has no exact match there is some scope for identifying other profiles on the system which may be brothers or sisters ... but in that case the investigating officer
knows that the person identified is NOT the suspect but a starting point for enquiries to possibly identify the suspect.