Yes it can
This is the case is my computer.
(And I am posting from the same).
eth0 Link encap:Ethernet HWaddr 00:50

A:77:18:BB
inet addr:192.168.0.4 Bcast:192.168.0.255 Mask:255.255.255.0
inet6 addr: fe80::250:daff:fe77:18bb/64 Scope:Link
UP BROADCAST RUNNING MULTICAST MTU:1500 Metric:1
RX packets:18401 errors:0 dropped:0 overruns:0 frame:0
TX packets:6279 errors:0 dropped:0 overruns:0 carrier:0
collisions:0 txqueuelen:1000
RX bytes:5793274 (5.5 MiB) TX bytes:1565783 (1.4 MiB)
Interrupt:5 Base address:0xe800
lo Link encap:Local Loopback
inet addr:127.0.0.1 Mask:255.0.0.0
inet6 addr: ::1/128 Scope:Host
UP LOOPBACK RUNNING MTU:16436 Metric:1
RX packets:49 errors:0 dropped:0 overruns:0 frame:0
TX packets:49 errors:0 dropped:0 overruns:0 carrier:0
collisions:0 txqueuelen:0
RX bytes:12089 (11.8 KiB) TX bytes:12089 (11.8 KiB)
You also have ppp running which suggests that you are running dial-up(probably).
Anyway if the kernel routing table is configured properly you should be able to connect to the internet.