Porting from different ShopSystem has influence on Google Ranking ?

[abcart_ecm]

Hello,
I have a webshop running on PrestaShop and I want to port this
webshop to AbanteCart. Will I have the same page ranking in Google
after or does the porting from PrestaShop to AbanteCart change anything
in my old page ranking ?

[abantecart]

You should be fine, as long as you preserve page titles, SEO URLs and similar content on them.