I have easily left my starters cold crashing for over 48 hrs with no ill effects upon pitching. I think a week might be pushing it, but I bet the yeast will be okay. Keep in mind that when yeast are cold crashed they go into quiescence (a dormant stage) where they slowly use up their reserves which are needed to get them going for fermentation. The longer they sit, the more reserves they use up, the harder it is for them to tackle the wort when they start fermenting which can lead to off flavors and other fermentation issues.
If you have to wait 5 days before brewing, then here is an option for you...
At the start of your brew day, whip up a small amount of fresh starter wort to add to your chilled yeast. For example, if you brewed a 2 qt starter, then you might want to add 500 mL to 1 qt of fresh wort to help wake up the yeast. Be sure to decant the original spent wort off of the yeast prior to adding your fresh wort. Be sure to give it a good shake to add some oxygen for the yeast and pitch it at high krausen (the whole shebang) into your overall batch.
Another option that others have used with good results (I have not yet tried this) is to runoff some of your wort from your main batch, cool it quickly, then add that to your yeast starter (after decanting of course). Allow that to reach high krausen and pitch the whole thing back into your main batch.
Both of these are options for you to consider when working with "older" stepped up yeast. Good luck and let us know what route you decide to go with.
Cheers -
Brewinhard