Can a Preamp Run a Trends Audio 10.1 Int. Amp?

I am the happy owner of a Trends Audio 10.1 integrated amp and I wanted to know if it is possible to run a preamp to the Trends Audio without any problems? I would like to have a remote control and more inputs, but I love the sound and price of the Trends Audio, so it seems like a natural path to upgrade a little.

Yes. You can bypass the preamp in the Trends unit by changing the jumpers inside. You may want to check the gain to assure you have a preamp which will mate well.
I run mine as a power amp (connected to a preamp with remote volume, component switching). There is a jumper inside the TA10.1 that you can change to bypass the volume control. The manual tells you how to do this. If you don't want to bother, just turn the volume knob up full on the TA.