No, there's no problem increasing the receive sensitivity - you need a suitable preamp that's automatically bypassed when you transmit, either by pin diodes or relays.
However, at VHF and UHF frequencies the limiting factor is the noise of the front end devices, unless your existing front end is particularly noisy it's unlikely a preamp will make very much difference. You also tend to get the problem that you can hear them, but they can't hear you - it's important to try and keep both transmit and receive reasonably balanced.
But such a device isn't simple to build, UHF is very tricky - I would suggest trying looking round for a commercial unit you could buy?.