Hi there,
It really depends on the extent of the underbite and the current position of the two front teeth. Mild underbites can be corrected by:
1) moving the lower teeth backwards (space is required)
2) moving the upper front teeth forwards (which creates spaces/gaps), OR
3) a combination of both.
Yes, it is possible to keep all your teeth aligned and for the upper front teeth to be pushed forward to be positioned over the lower front teeth. However, gaps will be created, which may not be aesthetic and may not be limited to simply the front 2 teeth if the teeth need to be pushed forward more. If the teeth are narrow in shape, placing some tooth coloured composite filling material can help to cover the gap. However, if the teeth are normal-sized or wide, the fillings would make the teeth look too wide and that would not be aesthetic.
If your intention is to only have a gap between the front 2 teeth, then the amount the teeth can be pushed forward is rather minimal, to prevent the gap from becoming too large and unaesthetic. A clinical assessment by an orthodontist or dentist would be able to advise you on the feasibility of such an option.
Hope this helps!