Hi,
No, unless you create a special custom plugin.
But it's not something that I will recommend you because a cart can be link to a guest account so you won't be able to know when that cart will be delete ; so the product stock won't be re-incremented.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.