An Tideturner move a unit to base from a battlefield if there is a Minotaur Reckoner on the field?

Yes, you can trigger the ability, but the move will fail.

According to RiftJudge FAQ #8815, a Minotaur Reckoner's passive ability ("Units can't move to base") does not prevent the triggering or activation of abilities that attempt to move units to the base.

Here is the breakdown of the interaction:

1. Triggering: When you play Tideturner, its "When you play me" ability triggers and is placed on the chain.
2. Resolution: When the ability resolves, you attempt to perform the swap (moving Tideturner to the target's location and the target to Tideturner's original location).
3. Restriction: Because Minotaur Reckoner is on the board, the instruction to move a unit to the base cannot be followed. According to Rule 359.3.e.6, "Instructions that can't be followed, either because of illegal targets or other circumstances, are ignored."

Therefore, the ability resolves, but the move itself fails to occur, and the units remain where they are.