Not directly, however you can get an East Coast Trains service to London Kings Cross and then simply take the Piccadilly line to one of the Heathrow Airport Underground stations (depending on which terminal you are departing from). Allow just over 4 hours for the journey.
There is no direct train service between Wakefield and Heathrow, the best you can do is get on the Piccadilly Line train to King's Cross and take the East Coast mainline route to York. From there, there is supposed to be an interconnecting train to Wakefield.
Leeds, West Yorkshire to Heathrow Airport is 196.4 miles according to the AA route planner website.
No. You can get a tube train from Heathrow into central London and then an overhead train from London to Luton.
Which train will go to Wolverhampton from terminal 4 of London Heathrow Airport
Take the East Coast main line train to King's Cross, then get the Piccadilly Line train to Heathrow Airport.
There are no trains running between Heathrow and Brighton.
From Heathrow to London - about 15 minutes by train from London to Cambridge - about 45 minutes by train
Its quicker to ride the train but therre are busses.
There are no trains between Luton and Heathrow but there is a shuttle bus service.
There is no direct train between Heathrow and Southampton. You will either have to take the tube (underground) to Waterloo and get a train from there or take a bus to Reading and get a train to Southampton from there.
The quickest way to Paddington from Terminal 4 at Heathrow Airport is by train. There are 2 train services to choose from. The Heathrow Express is faster (at around 15 minutes) and more frequent, but more expensive. Heathrow Connect takes 25 minutes, but is cheaper.
You can't travel directly from Heathrow to Bristol. The best way is probably to take a bus to Reading and get a train from there or travel into Central London and get a train there.