Advice with work - can I justify taking time off?

I just received news that my great grandfather passed away this morning, my great grandmother passed away a week today. I didn’t see them often but I still loved them dearly.

I’m an apprentice parts advisor, have been for around 2 months and have taken some sickness days due to appointments I have had.
I feel so drained since receiving the news, haven’t stopped crying for around an hour - can I justify taking some time off to cope with things? One of my worst fears is losing this job because I’ve worked so hard at it.

Any help would be much appreciated.

Many thanks.