The short answer to this question is yes you can have both underfloor heating systems and strand woven bamboo flooring. However, you should first consult the dealer who sold you your strand woven bamboo flooring to find out the best way to combine the bamboo flooring with underfloor heating. The main issue is that strand woven bamboo flooring like hardwood flooring can dry out and crack if it is subjected to continual direct heat.
Panda Flooring has one solution. They have a cross-ply high density strand woven bamboo flooring range that is tough enough to withstand underfloor heating.
It is important to not use a floating installation over UFH (under floor heating) systems. It is necessary to first lay a plywood subfloor with certain modifications to make it suitable to deal with the heat rising up from the UFH system.
American flooring companies have more experience in this area because underfloor heating has been more popular there for longer than in the UK.