Old single pane House window has a crack, can I fix it using a resin?
I'm going to say no on this because of how a windshield is made.  They are a layered construction with glass on the outside and a plastic material on the inside.  A small crack or chip in a windshield doesn't  cause a structural failure - the other layers hold the window together.  Resin can be injected into the glass crack and pushed against the other layers with pressure to completely fill the crack.

On a single pane window, there is no backup.  A crack means the glass is literally broken in half at that point and the crack will spread very easily.  And pressure put on the glass to force the resin into the crack would probably be enough to make the crack expand across the glass.

If you were very careful, you may be able to just dab some resin on the surface of the crack and possibly reduce its visibility and give it a little extra strength, but it won't be the same fix as a car window.