Obviously when you say bear market that means that the market is having its down fall regardless if that is bitcoin or an altcoins so there is a very small possibility that some alts can have a pump but not massively.
Is not it how big the pump will depend on the any news that comes from the project? As far as i know if this news will give a very big impact to the price of altcoin even when it was still on the bearish trend and then altcoin can still get a pump.
How big the pump totally depend on how big the news that will be coming for sure.
When you are seeing the market and pump is happening randomly and it can't be predicted whether the pump will be big or small but the news can determine that.