As far as the 'mechanics' of the site go - this is incompatible with the TOS
Subscriber certifies to Stack Exchange that Subscriber is an
individual (i.e., not a corporate entity) at least 13 years of age. No
one under the age of 13 may provide any personal information to or on
Stack Exchange (including, for example, a name, address, telephone
number or email address). Subscriber also certifies that they are
legally permitted to use the Services and access the Network, and
takes full responsibility for the selection and use of the Services
and access of the Network.
Essentially a user is a person not an organisation.
However there's nothing stopping people at your company from doing support and asking questions on the network on personal accounts- taking into account, of course the usual rules on self promotions and such. A few users include their employers in their profiles and usernames to make it clearer.
However a company wide account is not a great idea especially taking into account how the reputation system is designed to work. There's been a few experiments - like teams for organisations but this didn't quite work out.
So personal accounts with optional profiles and usernames with references to your company will be best especially if your goal here is primarily to ask questions.
If you also want to do support, you will also want full disclosure of affliation in your profile and posts (and those users using the site other than for support)