How long does it take to transfer 10 TB?

Ten terabytes is large enough that network speed makes a major difference. These figures use decimal units and ideal sustained throughput.

Can storage keep up?

At 10 Gbps the theoretical file rate is 1.25 GB/s, so storage and the endpoints must sustain very high throughput to approach the network limit. For large migrations, test the complete path before planning around the theoretical number.