No. You can specify when holidays can be taken, provided that everyone gets at least their statutory entitlement to time off at some time during the year. However, if your workers have asked for time off, you will have to serve them with a counter notice, in writing, rejecting the request. This notice has to be sent out at least as many days in advance of the holiday, as the length of the holiday requested. So for instance, if you have an employee who asks for two weeks off at an inconvenient time, you have to let him (or her) know this is unacceptable, at least two weeks before the holiday is due to start.