I.e Sol Ring
because mana abilities don't use the stack, and trickbind must target an ability which is on the stack... no, it can't.
However, just because an ability would add mana to your mana pool, that doesn't automatically make it a mana ability...e.g. Soulbright Flamekin.Also spells like Dark Ritual and Manamorphose still use the stack, and can be countered just like other spells can be. Spells are not mana abilities.