A lot of people have used an ALH pump on a 1Z or AHU engine, but I don't think anybody has used a 1Z pump on an ALH engine.
The electrical connections are the easy part, it's the mechanical issues that will cause you trouble.
The 1Z pump has a 50mm dia. nose while the ALH pump has a 68mm dia. nose. This means the mounting bracket will need to be modified. It is not too difficult to drill a hole larger, but it is a bit of a challenge to make it smaller.