talk about "SME or sole trader" and the installation must be "at premises from which you actively trade".
Documentation we will accept includes: VAT registration; Charity Registration: HMRC
notification; sole trader UTR number; certification of incorporation (Limited Companies);
business bank account statement issued within the last three months; non-domestic rates
reference. Other documentation, such as business-related utility bills, may be acceptable in
special conditions if combined with other documentation.
So if your community centre is organised either as a charity or as a limited company, and/or it has to pay non-domestic rates, then I don't see why it can't apply. Check with the ISP you plan to take service from, since they have to apply for the voucher on your behalf.