Based on tmgriffiths' answer to Bibliography Style with abstract and numbered references we could try
\DeclareFieldFormat{abstract}{\par{\small\bibsentence\mkbibbold{\bibstring{abstract}}\addcolon\space #1}}
\renewbibmacro*{finentry}{%
\iffieldundef{abstract}
{\finentry}
{\finentrypunct\printfield{abstract}\finentry}}
MWE
\documentclass[british]{article}
\usepackage{babel}
\usepackage{csquotes}
\usepackage[backend=biber,
style=apa,
]{biblatex}
\usepackage{hyperref}
\DeclareLanguageMapping{british}{british-apa}
\addbibresource{biblatex-examples.bib}
\DeclareFieldFormat{abstract}{\par{\small\bibsentence\mkbibbold{\bibstring{abstract}}\addcolon\space #1}}
\renewbibmacro*{finentry}{%
\iffieldundef{abstract}
{\finentry}
{\finentrypunct\printfield{abstract}\finentry}}
\begin{document}
Lorem \fullcitebib{sigfridsson}
\end{document}

If you want the abstract
to appear only when cited with \fullcitebib
, we need to move the modification above inside the definition of \fullcitebib
\DeclareFieldFormat{abstract}{\par{\small\bibsentence\mkbibbold{\bibstring{abstract}}\addcolon\space #1}}
\DeclareCiteCommand{\fullcitebib}
{\renewcommand{\finalnamedelim}{\ifnum\value{liststop}>2 \finalandcomma\fi\addspace\&\space}%
\list{}
{\setlength{\leftmargin}{\bibhang}%
\setlength{\itemindent}{-\leftmargin}%
\setlength{\itemsep}{\bibitemsep}%
\setlength{\parsep}{\bibparsep}}\item}
{\usedriver
{\DeclareNameAlias{sortname}{default}%
\global\boolfalse{bbx:parens}%
\global\boolfalse{bbx:volseen}%
\global\boolfalse{bbx:titleinauthpos}%
\global\boolfalse{bbx:editorinauthpos}%
\global\boolfalse{bbx:in}
\renewbibmacro*{finentry}{%
\iffieldundef{abstract}
{\finentry}
{\finentrypunct\printfield{abstract}\finentry}}}
{\thefield{entrytype}}\finentry}
{\item}
{\endlist
\usebibmacro{cite:post}}