Yes, but current network difficulty is 26,690,525,287,405 (https://btc.com/stats/diff) not the number you wrote. In order to find a block you need to submit a share higher than that.

The pool also requests you to submit shares higher than X but lower than the network diff, what you called a pool share. This is purely for information purposes* and load balancing. By submitting shares, although lower than the network diff and not good enough for a block, the pool can calculate your hashrate and show it to you, basically giving feedback and confirmation that you are mining. X is different for each miner depending on hashrate but is adjusted continually so that you submit 14 (or was it 18) shares a minute on average and in this way the server is not unnecessarirly burdened by submissions of every low share. If that wasn't done then the pool server would be flooded with diff 1 shares and probably smoking hot and dead by now 

*in other pools where the block is shared it is also necessary for accounting and payouts.