A:Answer The short answer is yes, T430 and T430i Thinkpads support a maximum of 16gb of RAM / System Memory.
Here's the technical specifications for theT430 and T430i Thinkpads RAM / System Memory from Lenovo.
Memory
PC3-12800 Non-Parity (NP) Double Data Rate Three (DDR3) Technology
Two SO-DIMM Slots
The use of 1600 MHz SO-DIMM memory is recommended for this system.
System automatically clocks down for processors with 1333MHz DDR3 memory controller 2 GB, 4GB, or 8GB memory
Supports up to 16GB maximum memory
Note: Only 64-bit operating systems support more than 3GB of system memory (RAM).