They should have a better chance because they haven't fruited much or produced mature seed - less chance they will give in to senescence, but a worse chance if the plants are too small.
The main thing is the species - none of them are hardy but C.pubescens is by far the best at bouncing back in the spring.
The rest will sulk and often get overtaken by the new seedlings in March - which renders the whole exercise pointless.
C.baccatum is regarded as next best, but some ordinary ones (C.annuum) are at least as good though most aren't. C.chinensis is a very long shot at best.
There's plenty of advice ont'web about light, temperature and pruning etc.