Not at this time, don't think so.
Foreign exchange exit rules by central bank is major impediment.
PayPal does exist, but you can only use PayPal to pay someone IN Bangladesh for services or just to transfer money (XOOM, a subsidiary of PayPal). But not use PayPal to buy something FROM Bangladesh using Bangladesh currency.
However there are other services one can use locally or internationally FROM Bangladesh like Google Pay etc.
Here is BD page in PayPal.
PayPal is the faster, safer way to send money, make an online payment, receive money or set up a merchant account.
www.paypal.com