Lots of them. As far as I know, Ivy and Bert were law-abiding, decent citizens, just on a very low income - not that surprising given the size of their family. Their house, which is where Tracy and family live now, with her dad Bert, must have been full to bursting when the children were growing up. However, their son Keith has done time as well, and so has Susan, and I think possibly Stewart as well. Not sure about Gary.
https://www.bbc.co.uk/programmes/profiles/32WMzv0N6QWnjQXK8sz8VmY/keith-horrobin (Actor picture warning, for those who hate them!) Info about Keith.
Gary is the one who was living with Bert, Tracy, Chelsea and Brad until recently but has now moved away for work. Single and possibly socially awkward.
Clive robbed the Village Post Office at gunpoint, causing Jack Woolley, Peggy's husband, to have a heart attack. He went on the run and forced Susan to take him in by threatening the children. Susan, very unfairly, was prosecuted for hiding an offender and sent to prison. Questions were asked in Parliament about this!
Later Clive came back to the village and deliberately wounded horses at the Stables as part of a vendetta against George Barford, husband of Christine, aunt of Kenton/David/Shula/Elizabeth and Jennifer/Lilian/Tony. Christine is now living silently in The Laurels. George died many years ago. He was the gamekeeper but one before Will Grundy. He was instrumental in getting Clive convicted of various burglaries (between the armed robbery and the arson attacks?). The Stables connection is because Christine owned it and lived there with George, before selling up to her neice, Shula. Clive set fire to the Barfords' house, Woodbine Cottage, where Jim now lives, with Christine and Jill inside it. I think David rescued them.
So yes, George Grundy has bad influences/genes on both sides. His great-uncle Alf Grundy, Eddie's brother, is another jailbird.