Short answer: No! But don't let that put you off...
Current legislation prevents people who are not members of an approved club just turning up and shooting. Although the law does provide for "Open Days", any club running such an event has to comply with the rules, which include notifying the local police in advance of the details: when, where, and the names and addresses of everyone that will be handling firearms. If you wish to try shooting at an Open Day, the National Small-bore Rifle Association or the National Rifle Association at Bisley may be able to provide details of clubs holding an open day.