why not? the question is type of fiber u are going to use , chopped,particle, unidirectional or other else and mwthod/mechanism of adding these material should worried you. any how go ahead
If you try it, be prepared to conduct aging studies. Typical cements generate high pH at their surface (~12-13), which will probably lead to polyester hydrolysis and replacement of some long chains with a combination of short chains and calcium salts thereof. I would expect some degradation of mechanical performance.
To maximize your chances, you could try to use a "low pH" cement, e.g. one to which fumed silica or fly ash has been added. This type of additions can lower the pH to around 11 (see for example Calvo & al., Materials 2013, 6, 2508-2521; doi:10.3390/ma6062508) and significantly reduce the rate of polyester hydrolysis.