Can I move with one unit with ganking from another bf to the one I am attacking and at the same time with one unit from the base?

Yes, you can. According to RiftJudge FAQ 8465 and Rule 144.3, you can perform a Standard Move with multiple units simultaneously, and the origins of those units do not need to be the same.

How it works:

1. Declare the Move: You choose the destination battlefield where you intend to initiate an attack or move units to.
2. Select Units: You select your unit with Ganking (at another battlefield) and your unit at your base.
3. Pay Costs: You exhaust both units simultaneously (Rule 144.3.c).
4. Arrival: Both units arrive at the destination battlefield at the same time. If this movement results in you having units at a battlefield where your opponent also has units, a single Showdown/Combat is triggered for the entire group.

Important Notes:

• Standard Move: This is a Standard Move, which can only be performed during your Main Phase when the state is open (no chain exists).
• Ganking: The Ganking keyword (Rule 810.1.b) simply provides the necessary permission for a unit to move from a battlefield to another battlefield via a Standard Move. It does not turn this into a special action; it remains part of your Standard Move.
• Validity: You cannot move these units to a battlefield that already contains units from two other players (Rule 144.4.a.1).