You can't get a confirmation without a block.
The first confirmation is the block your transaction is included.
The chances of your transaction being included in a block are tied to some factors, the most important one is the fee you pay.
After that, every block on top of the block your transaction was included will act as one more confirmation for said transaction.

The fee will have an influence on whether or not your transaction is included in the first block, but it won't make the second and third blocks be discovered any faster,
those factors are out of your power.