Can i connect my lenovo a1000 tab to Ethernet?

One way would be to web search "android reverse tethering" to possibly connect it to networking with its USB cable through a PC.

Although, your tab comes with a cable to connect USB devices I tried connecting a microUSB to USB cable to a USB to ethernet adapter. My Android phone (S3 w/Android 4.3) noticed that something was connected to USB, but apparently did not recognize the USB to ethernet adaper. While Android is based on Linux and the USB to ethernet device works in Linux, apparently Android does not include support for that type of device.