Yes, you can create 14 to 16 ounce First Class Parcels with PayPal.

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First:
(1) Say you are not paid anything -- you want to send a present to a friend. You go to the PayPal "Create Your Shipping Label" page:
https://www.paypal.com/shipnow
There, you can not create First Class Parcel shipping labels for 14-15-16 ounce parcels.

(2) But if you are paid for an eBay transaction, you can create labels for First Class 14-15-16 ounce parcels.

(3) And even if you are paid via PayPal for a non-eBay transaction, you can also create labels for First Class 14-15-16 ounce parcels.

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Idea: even for situation (1) above, you can create labels for First Class 14-15-16 ounce parcels if you ask a friend to make a small PayPal payment to you. You can also send someone a First Class INTERNATIONAL Parcel mailing if you engineer a small (say, a dollar) eBay listing for them to bid in.

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Robert
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Glenn Ford in "Gilda" (1946).
http://www.antiquegamblingchips.com/StillsA_TopMaleStars.htm