Yes! You are permitted to continue driving on the roads even if you have sent your driving licence to the DVLA for an update.
The process typically takes just a few weeks, so you won’t be without your licence for too long.
During this period, as long as you are awaiting your new licence, you can legally drive without any concerns.
So, there’s no need to worry, and you can carry on with your regular driving activities while the DVLA processes your licence update.