Any individual miner can choose which transactions it includes in the block it is trying to find the valid hash for. The usual criteria is to simply grab the transactions that pay the highest miner fees, but any other criteria can be followed.

So, the answer to your question is yes.

But. unless the miner is evil and has >50% of the total hashpower, the "victim" transaction will eventually make it into the blockchain through another miner. So, as long as the majority of hashpower doesn't decide to censor something, it won't practically happen.