No. Once a valid, signed transaction is _out there_, any miner can (and is generally incentivized to) add it to a block.

The closest thing to cancelling is making a new transaction which makes the first one invalid (e.g. by emptying the source address) and hoping the new one gets added to the block first.

Because transactions can have fees attached to them, you could presumably make it more appealing to mine the second transaction than the first, but I don't know if this is something people do, and as far as I understand it most miners prefer the first transactions they see.