No, you cannot get infected unless you try *very* hard.

Your C:\ partition is not even mounted by default.
When you mount it, it cannot be written to.
When you change that status to read/write, the biggest danger will be yourself
(no insult meant - everyone new to a system can make grave errors unnoticeingly
so don't *ever* work as root, at least for a while).

There are very few viruses that work on a Linux system (I personally know exactly one)
but you have to look very hard for them.

So rest assured