You can not do that. But you can get pretty close.
Just set the grow on the flex item to a huge value (9999) and grow on the wrap item to 1
.flexContainer {
display:flex;
flex-wrap:wrap;
border: 1px solid;
}
.img {
width:110px;
height:110px;
background:red;
}
.flexItem {
flex-basis:200px;
flex-grow:9999;
background:#ff1;
}
.wrapItem {
flex-basis:100px;
flex-grow:1;
background:#aab;
}
<body>
<div class="flexContainer">
<div class="img">fixed size img here</div>
<div class="flexItem">This flexes</div>
<div class="wrapItem">This wraps</div>
</div>
</body>