No

Why? Because you should be inside at home! #StayHome

But if you absolutely had to go out to get groceries, medication or other essential travel, Yes, you do need a jacket.

Why? Because it's quite chilly.

Based on the weather in Wrexham, UK as of May 27, 2020 3:34am local time.

Now

Clear
Temp: 46°F8°C
Wind: 4 MPH6 KPH
Precipitation: None

Today

Next 2 hours: Yes

Next 4 hours: Yes

Next 8 hours: Yes

Tomorrow

Yes

Mostly cloudy throughout the day.
Low of 50°F10°C, High of 77°F25°C
Wind: 7 MPH11 KPH
Precipitation: 6% rain