Not a silly question at all!
Sure you can- the question is how you use them once you have melted
them down? You could cast an ingot and then roll it into sheet or
draw it into wire (too much work for me!) Investment casting,
cuttlebone casting, tufa casting and splash casting are other
options. You can also arrange the pieces on a piece of silver
backing (assuming the scraps are fairly thin) and fuse them for some
interesting surface textures. You could conceivably recycle some of
the little bits as surface design elements on your pieces. I
sometimes raid my scrap jar when I need a tiny piece to fabricate a
finding. I also sometime use scraps to prop up a component in
position for soldering( after painting them with white-out to
Continuing on, you could melt the silver pieces onto copper sheet
for a multi-color piece ( you can define where the silver will flow
by masking with white-out.) You could fuse the scraps into granules,
and use them for surface decoration.
What other uses have Orchidians found for scrap silver? I’m sure
there are plenty of other possibilities- and sometimes creative
answers to a question like this open up new ideas for design.