Yes to both.

You can reject or accept channels based on any conditions you want (in LND you can do this with the ChannelAcceptor RPC).

Like I mentioned in the other comment, acceptlnd is quite handy to set this up.

On the fees side, you could theoretically mirror the fees of any node of the network in almost real-time. This can be achieved by subscribing to the channel graph events (in LND, using the SubscribeChannelGraph RPC) and updating your local channels fees based on the updates you see.

To give you another example of dynamic fees, in Hydrus, fee rates are set based on the forwards amount ratio. If the amount of incoming forwards is higher than the outgoing, the fee rate is decreased to incentivize routing. If it is the other way around, the fee rate is increased to disincentivize routing.