It would be easier to quilt from one edge of the quilt to the other so ends would be buried in the binding.
However, if you can't do that, you can certainly knot and bury the ends into the quilt. The easiest way to do that is to use a special needle that does not require threading; it has a little hole in the side so you can thread it that way. There is a video somewhere that demonstrates how to do this.
An alternative is to start and stop with perhaps 3 tiny, tiny stitches. This effectively forms a lock too.
I don't do SID anymore because I am too perfectionistic about staying exactly in the ditch. With a walking foot, I prefer to make softly waving lines (can even do this for cross-hatching) because there are no mistakes with it!