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So you don't have a CNC or a mill. No worry!
Pinning is certainly a way to go, but a key and keyway will provide a much more reliable connection. A pin will easily break under a lot of load, say like... on a drive train.
So, the next thing you can do is drill the hole off center, in fact, drill it so that it's tangent to the shaft, so when you slide in a pin, it will fit straight right in between the edge of sprocket and shaft. The compression will keep the sprocket spinning with the shaft. You can probably do two of them on the sprocket if you don't think one is good enough.
On the other hand, if your sprockets don't have a hub, and don't have too much room to work with, then the key and keyway is still the way to go.
You can buy keywayed shaft at places like McMaster Carr or other places. Please don't not try that method of yours... I am sure drill bits were never designed with that in mind. Besides, your shaft is probably steel, so it will take forever to try to work them with normal press.
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