Can i tap
Kydele, Chosen of Kruphix for mana in between the first half of
Intellectual Offering, draw three cards, and the second half of it, untap all non land permanents you control?
No.
Quote:
608.2f If an effect gives a player the option to pay mana, he or she may activate mana abilities
before taking that action. If an effect specifically instructs or allows a player to cast a spell
during resolution, he or she does so by following the steps in rules 601.2a–i, except no player
receives priority after it’s cast. That spell becomes the topmost object on the stack, and the
currently resolving spell or ability continues to resolve, which may include casting other spells
this way. No other spells can normally be cast and no other abilities can normally be activated
during resolution.