Yes...but. Any admin can monitor keystrokes (and any user that can install software that runs as a service). As far as snooping the session on the network, this too can be done, but the amount of intelligible data that can be collected is relatively small. All of the critical data in an ssh session is encrypted. There is a hack to allow simplified brute-force password guessing based on ssh sessions, and there is always transaction data that could potentially be analyzed.
But if I were the administrator, I'd just install a keystroke monitor on your system and greatly simplify my life.
pansophic