From the GOV website,

An MOT lasts for a year. The date it runs out is printed on your current MOT pass certificate.

You can get an MOT up to a month (minus a day) before it runs out and keep the same renewal date.

Example If your MOT runs out on 15 May, the earliest you can get an MOT to keep the same renewal date for next year is 16 April.

You can get an MOT earlier, but the renewal date for the following year will change to one year (minus a day) from the date the vehicle last passed its MOT.

Example Your MOT is due to run out on 15 May, so the earliest you can get it done is 16 April. However, you take your vehicle for its MOT on 14 April and it passes. This means that the MOT expiry date changes to 13 April the following year.

So, simple answer is no, you can't get an MOT 2 months early.

If you MoT it today it will expire 23 March 2021

You can get an MOT every day if you really want to.

No problem putting it in early. As long as you recognise that it will only be valid for a year from the test date.

Lots of car dealers will put a new MOT on a car they're selling, even if it's not due.

"Due to the unfolding COVID-19 situation, cars and vans and motorcycles due their MOT from 30 March 2020 will have their MOT extended by 6 months.

This will continue until confirmed otherwise.

This will allow vehicle owners to continue to be able to get to work where this absolutely cannot be done from home or do essential shopping.

Vehicles must be kept in a roadworthy condition and drivers can be prosecuted if they drive an unsafe vehicle."

MOTs extended six months, need to check you qualify for the dates.