Absolutely!
@Swissgreys will tell you about the pigs and their bonds with the children.
Without a doubt all piggies are capable of forging a bond with certain people, and some form an incredibly strong bond with one person.
I would like to say it is directly related to the amount of positive interaction and time the pig has with that person, but I don't think that is entirely true - sometimes a pig and person just click.
We have Eddi who is our super friendly and fairly laid back pig. He will happily settle on almost anyone's lap, and loves a good snuggle.
But he and DD2 have a very special bond - she is the ONLY person he will kiss.
He adores her, and shows it openly be refusing to kiss anyone else.
Ever.
I have a video of it here:
And then we have Ruby.
Ruby is confident, bossy, and extremely chatty.
And in all honesty DD1 is the only person who can handle her.
If someone else tries to stoke her or hold her she bites them. Or climbs off their lap, and makes a beeline for DD1.
As soon as she is with DD1 she climbs onto her shoulder, and flops down and purrs gently into her ear (literally for hours).
If we try to pick her up she shrieks and bites us, but if DD1 is handling her she is a total angel. When DD1 calls her she rushes to the front of the cage and will happily be picked up. If anyone else tries to catch her she turns into a lightening bolt with sharp teeth.
At our recent vet visit the vet was marveling at what a relaxed piggy Ruby was (at the time Ruby was sprawled across DD1's shoulder, chattering into her ear).
The vet asked if she could quickly check her over (Ruby was there as a companion piggy for Eddi), and the minute she tried to touch Ruby, Ruby turned around, bit her finger, and the settled back on DD1 shoulder like butter wouldn't melt in her mouth.
So yes - I truly believe that guinea pigs can form close bonds with certain people.