A spin off of Do people normally own more than one wand in Harry Potter? wherein it's asked whether there are any canon examples of a witch or wizard owning more than one wand for practical reasons. As DVK's question doesn't specify regarding The wand chooses the wizard, I'm going to ask about that particular aspect.
Can a witch or wizard be chosen by more than one wand?
We've seen numerous examples in Harry Potter of individuals using wands that belong(ed) to someone else, or had a new wand made for them with Ollivander1 being under duress (Wormtail), but are there any examples in canon where a person is chosen by more than one wand?
Is a child's first purchase from Ollivander's the one and only time they can be "chosen" by a wand? Or, should they break their wand, want a second wand, or lose their wand, and need a replacement, would they be able to be chosen a second time by a totally new wand?
1: I know there are other wandmakers in HP, but I am using Ollivander as my example because he is the best known in the series.