Database connections

Hi, I have almost finished making a set of scripts that would communicate with maybe 1k sites to start with... I'm sorry I cannot give you more details about the scripts but this guy is really nervious and had me sign an NDA etc etc but what i would like to know is; would there be a problem with connecting to the database many hundred/thousand times a minute? (esp on a shared server as this guy and I cannot afford a dedicated at this point) Mostly the "normal/usual" queries...eg: select, update, delete very little JOIN or sub-selects Thanks for your time. Cheers, Ryan