Can I get liquidated if I'm on a yield farm with a layer 2 protocol?

Yes, you can get liquidated because liquidation is not based on the chain you use. When you open a leveraged position with a layer 2 protocol, the assets you deposit in the protocol act as collateral, which increases as you accumulate yields.

The collateral must exceed the amount you owe the lender (plus a margin of safety to take care of quick price swings), or the protocol may close your trade to pay back the lender – forced liquidation. You should avoid forced liquidation by depositing more funds because if you are force liquidated, 5% of your remaining position would be paid to the liquidator bot as a reward for managing your position and ensuring the lender was paid.