You can take fish from a river you catch unfortunately, but not a still water i.e. A lake without the permission of the owner
Environmental agency rules for east anglia state
1.6.2 What freshwater (coarse) fish can I take?
On rivers, you may take no more than -
one pike of less than 65 cm per day;
two grayling of between 30 and 38 cm per day;
fifteen barbel, chub, common bream, common carp, crucian carp, dace, perch, pike, roach, rudd, silver bream, smelt or tench (including any hybrids of these species) of less than 20cm per day.
All lengths are measured from the tip of the snout to the fork of the tail.
These restrictions also apply on all the waters in the Norfolk and Suffolk Broads that are subject to the coarse fish close season (see above).
There are no restrictions on the number of other coarse fish you may take (see below for eel and shad).