No. What you say would not save any money.
When calculating the tax on the salary, you take the allowance for the year to date (1 month in April, 2 months in May) and so on, and deduct from that the allowance you have already used up. This will normally leave you with
1 month of allowances. If you didn't use the allowances in previous months, then you get to use them this month.Stopping and starting each week would give you exactly the same figures and make no difference to the amount of tax you pay.
If you are out of work at the end of the year, you can't carry that month's allowance to the following year, but you can get a refund.