Can I glue a MagSafe connector broken at the "computer" end?
This can be fixed with an application of Super Glue or other adhesive for metals.

First, clean it with acetone - use a cotton swab (like a Q-Tip) to ensure that the metal is clean.  This will help the adhesive bond properly

Using a small amount of adhesive that is made for bonding metals like Super Glue, place it around the edges of the part to be repaired.  Hold for at least a minute (the set time for the adhesive) and you should be good.  For best results, allow to cure for an hour before use.  You should be good to go