Can a wizard delay learning new spells from leveling up, and instead learn different spells later?

Question

Can a wizard delay learning new spells from leveling up, and instead learn different spells later?

For example, can a 2nd-level wizard choose to skip adding two new spells to their spellbook from leveling up, and instead add four 2nd-level spells when they reach 3rd level?

Answer 1

Spells are learned upon level up

From the wizard class features:

Learning Spells of 1st Level and Higher

Each time you gain a wizard level, you can add two wizard spells of your choice to your spellbook for free.

So if you want these free spells, they must be chosen when leveling up. You can't wait for the next level up to add four spells instead. You can choose not to add spells when leveling up (the wording does say "you can add") but this does not grant you any benefit.