Yes, as Nev has said, some do and some don't. Many of these patterns were in production for several years and were available in both uranium and non-uranium green at various times so testing or a pic under blacklight is needed if you want to be certain.
A few further suggestions for fishy patterns to look out for:
Green examples of Jobling's 12000 Fish Salad Bowl are likely to contain uranium
S.Reich's 8713 fish pattern bowl was certainly available in a light green glass which contains uranium. However, darker greens may not, and I'm not sure if this pattern was made later in non-uranium light green too.
As well as Bagley's square fish plate, you can also look out for the Alexander Hardie Williamson designed Marine bowl. Early examples of this pattern were made in Uranium green.
Presumably Walther's 'Sonnenfisch' bowl was originally available in uranium glass, but later production by VEB Sachsenglas is unlikely to contain uranium.