- Can members get their own share certificate?

Different clubs have done different things. Some have printed share certificates for members of the Trust for them to frame – AFC
Wimbledon have done this and at Chesterfield life members of the Trust got a certificate saying that they were a permanent shareholder in the Trust, and as the Trust owned the club, they were an owner of the club. If you are a shareholder in the club itself it's up to the club to provide a certificate.